Abstract
The life of Dov Tamari is described, including a brief introduction to his mathematical work.
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References
D. Tamari, Moritz Pasch (1843-1939), Shaker, Aachen, 2007.
“Memories of Dov Tamari, age 84, as told to his niece Ditta”. Summary of a telephone interview with Ditta Tamari, written up by the latter. Circa 1995. Computer typescript, 7 pp.
D. Tamari, Biographical Note written in Paris around 1952-53; Doram Tamari, private archive.
W. Magnus and R. Moufang, “Max Dehn zum Gedächtnis”, Math. Annalen 127 (1954) 215-227.
G. Dautzenberg, “Prof. Dr. Dov Tamari †”, uniforum, Zeitung der Justus-Liebig-Universitat Gießen, 19. Jahrgang, Nr. 4 (October 12, 2006), 11.
Letter, Tamari to Freudenthal (September 2, 1984), NHA-F74.
Letters, Zervos to Müller-Hoissen (May 12 and August 11, 2011).
M. Krasner, “Nombres semi-réels et espaces ultramétriques”, C. R. Acad. Sci. 229 (1944) 433-435.
D. Tamari, Biographical Note written around 1952. Doram Tamari, private archive.
Letter, Frieda Teitler to the General Officer commanding the Forces in Palestine (March 23, 1941), CZA and MUP.
“Dov Tanari: list of papers”, SWLLAC-T38.
D. Tamari, “Une théorie constructive de l’associativité générale”, Eleutheria (1986A) 93-127.
D. Tamari, “Foundations of graphic associativity theory (G.A.T.) and 4CM”, unpublished manuscript (1990).
CIA, Office of Strategic Services, “The objectives and activities of the Irgun Zvai Leumi”, R&A No. 2612 (October 23, 1944), declassified document.
Palestine Post (July 14, 1939).
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D. Rossoff, “Arie Levin, father of the Jewish prisoners”, The Jewish Magazine, no. 18 (February 1999).
Palestine Post (May 1, 1940).
Letter, L. Altman to the High Commissioner of Palestine (February 24, 1941), JI, Correspondence 1116.
Letter, Major Taylor to Altman (February 26, 1941), JI, Correspondence 1116.
Palestine Gazette (November 26, 1942), 1299.
Palestine Post (July 25, 1939).
Letter, Rector of the Hebrew University to Burton (February 10, 1944), HUCA.
D. Tamari, “On a certain classification of rings and semigroups”, Bulletin AMS 54 (1948) 153-158.
L. Corry, Modern Algebra and the Rise of Mathematical Structures, Birkhäuser, Basel, 2004.
L.A. Bokut, “Embeddings of rings”, Russ. Math. Surv. 42 (1987) 105-138.
S.C. Coutinho and J.C. McConnell, “The quest for quotient rings (of noncommutative Noethe- rian rings)”, Amer. Math. Monthly 110 (2003) 298-313; S.C. Coutinho, “Quotient rings of noncommutative rings in the first half of the 20th century”, Arch. Hist. Exact Sci. 58 (2004) 255-281.
O. Ore, “Linear equations in non-commutative fields”, Ann. Math. 31 (1931) 463-477.
P. Dubreil, Algèbre, Gauthier-Villars, Paris, 1946.
D. Tamari, “On the embedding of Birkhoff-Witt rings in quotient fields”, Proc. AMS 4 (1953) 197-202.
A.W. Goldie, “Some aspects of ring theory”, Bull. London Math. Soc. 1 (1969) 129-154.
D. Tamari, “A refined classification of semi-groups leading to generalized polynomial rings with a generalized degree concept”, in Proc. ICM, Amsterdam 1954, North-Holland, Amsterdam, 1957,439-440.
List of talks, Zeitschr. für math. Logik und Grundlagen d. Math. 8 (1962) 351-352.
Bulletin de la S.M.F. 79 (1951) xx.
P.S. Alexandrov et al, “Anatoly Ivanovich Malcev: Obituary”, Russ. Math. Surv. 23 (1968) 157-168.
R. Dimitric, “Anatoly Ivanovich Maltsev”, The Math. Intell. 14 (1992) 26-31.
G. Grätzer, Lattice Theory, First Concepts and Distributive Lattices, Freeman, San Francisco, 1971.
D. Tamari, “Elementary theory of special lists and their poset-lattices”, unpublished manuscript (1996).
G.-C. Rota, “The many lives of lattice theory”, Not. AMS 44 (1997) 1440-1445.
D. Tamari, “The algebra of bracketings and their enumeration”, Nieuw Archief voor Wiskunde (3) 10 (1962) 131-146.
R. Stanley, Enumerative Combinatorics, vol. 2, Cambridge University Press, Cambridge, 1999; “Catalan addendum”, http://www-math.mit.edu/~rstan/ec/catadd.pdf (2011).
J. Stasheff, “How I ’met’ Dov Tamari”, in this volume.
D. Tamari, “Associativity theory and the theory of lists. Their applications from abstract algebra to the four-colour map problem”, Congressus Numerantium 54 (1986) 39-53.
D. Tamari, “Sur quelques problèmes d’associativité”, Ann. sci. Univ. Clermont-Ferrand 2, Série Math. 24 (1964) 91-107.
H. Friedman and D. Tamari, “problèmes d’ associativité: une structure de treillis finis induite par une loi demi-associative”, Journal of Combinatorial Theory 2 (1967) 215-242.
S. Huang and D. Tamari, “Problems of associativity: a simple proof for the lattice property of systems ordered by a semi-associative law”, J. Comb. Theory (A) 13 (1972) 7-13.
D. Tamari, “The story: On proofs and editorial policies”, unpublished manuscript (1997).
D. Huguet, “La structure du treillis des polyédres de parenthésages”, Algebra Universalis 5 (1975) 82-87.
E.S. Ljapin and A.E. Evseev, The Theory of Partial Algebraic Operations, Kluwer, Dordrecht, 1997.
W.P. Wardlaw, “Computer aided intuition in abstract algebra”, Comput. & Education 2 (1978) 247-257; “Finitely associative groupoids and algebras”, Houston J. Math. 9 (1983) 587-598; “A generalized general associative law”, Math. Magazine 74 (2001) 230-233.
R.H. Bruck, A Survey of Binary Systems, Springer, Berlin-Heidelberg-New York, 1971.
S. Gensemer, “Partial groupoid embeddings in semigroups”, in this volume.
D. Tamari, “Le problèmes d’associativité des monoïdes et le problème des mots pour les demi-groupes; algèbres partielles et chaînes élémentaires”, Sém. Dubreil-Pisot (Algèbre et Théorie des nombres) 24(8) (1970/71) 1-15.
T. Evans, “The word problem for abstract algebras”, J. London Math. Soc. 26(1951) 64-71; “Embeddability and the word problem”, J. London Math. Soc. 28 (1953) 76-80.
M. Dehn, “Über unendliche diskontinuierliche Gruppen”, Math. Annalen 71 (1911) 116-144.
J. Berstel and D. Perrin, “The origins of combinatorics on words”, Europ. J. Comb. 28 (2007) 996-1022.
A. Thue, “Die Lösung eines Spezialfalles eines generellen logischen Problems”, Kra. Vidensk. Selsk. Skrifter. I. Mat. Nat. Kl., no. 8 (1910).
D. Tamari, “Problèmes d’associativité des monoïdes et problèmes des mots pour les groupes”, Sém. Dubreil-Pisot (Algèbre et Théorie des nombres) 16(7) (1962/63) 1-29.
Letter, Boone to Gödel (August 14, 1967), PUL-G: Tamari, Dov, 1959-61,1966-67, Box 3b, Folder 180, document no. 012723.
Letter, Gödel to Ginzburg (May 25, 1973), SWLLAC-T38.
D. Tamari, “A graphic theory of associativity and word-chain patterns”, Lecture Notes in Mathematics 969 (1982) 302-320.
Letter, Schwartz to Freudenthal (June 29, 1971), NHA-F1857.
Letter, Jacobson to Tamari (September 15, 1971), NHA-F1857.
Letter, Tamari to Freudenthal (August 10, 1971), NHA-F1857.
D. Tamari, “The associativity problem for monoids and the word problem for semigroups and groups”, in Word Problems – Decision Problems and the Burnside Problem in Group Theory, eds W.W. Boone, F.B. Cannonito and R.C. Lyndon, North-Holland, Amsterdam, 1973, 591-607.
A. Ginzburg, “Representation of groups by generalized normal multiplication tables”, Canadian J. Math. 19 (1967) 774-791.
Verein ehemaliger Helmholtzschüler e.V., “Nachruf auf Dr. Meir Steinberger”, VEH-Info Nr. 114 (2008).
H. Thiel, Die jüdischen Lehrer und Schüler der Frankfurter Helmholtzschule, 1912-1936, Schriften des Vereins Ehemaliger Helmholtzschüler, Heft 5, Frankfurt am Main, 1994.
Notices of the AMS 55 (2008)722.
M. Steinberger, “On multiplicative properties of families of complexes of certain loops”, Canadian J. Math. 25 (1973) 1066.
Letters, Tamari to IAS (December 7, 1959; January 9, 1960), SWLLAC-T38.
Letter, Tamari to Weil (December 10, 1959), SWLLAC-T136.
Letter, Oppenheimer to Tamari (February 1, 1960), SWLLAC-T136.
J. Horváth, “The life and works of Leopoldo Nachbin”, Asp. Math. Appl. 34 (1986) 1-75.
J.B. de Carvalho and D. Tamari, “Sur l’associativité partielle des symétrisations de semi-groupes”, Portugaliae Mathematica 21 (1962) 157-169.
J. Lambek, “The immersibility of a semigroup into a group”, Canadian J. Math. 3 (1951) 34-43.
E.L. Ortiz, “Professor António Monteiro and contemporary mathematics in Argentina”, Portugaliae Mathematica 39 (1980) XIX-XXXII.
R. Cignoli, “The mathematics of António Aniceto Monteiro”, Actas del IX Congreso Dr. Antonio A.R. Monteiro (2007) 3-8.
Letter, Freudenthal to Tamari (August 2, 1984), NHA-F74.
Letter, Tamari to Freudenthal (April 1, 1953), NHA-F74.
Letter, Freudenthal to Tamari (August 1, 1961), NHA-F74.
Letter, Tamari to Freudenthal (August 31, 1961), NHA-F74.
Letter, Freudenthal to Tamari (November 3, 1961), NHA-F74.
J.A. Jenkins, “A transitivity question for analytic continuation”, in Algebraic and Differential Topology - Global Differential Geometry, ed. G.M. Rassias, Teubner, Leipzig, 1984, 147-149.
Letter, Tamari to Freudenthal (November 28, 1961), NHA-F74.
Letter, Tamari to Freudenthal (December 11, 1961), NHA-F74.
Letter, Freudenthal to Tamari (January 2, 1962), NHA-F74.
Letter, Freudenthal to Tamari (January 29, 1962), NHA-F74.
Letter, Tamari to Freudenthal (February 26, 1964), NHA-F74.
D. Lambot de Fougères, “Propriétés géométriques liées aux parenthésages d’un produit de m facteurs. Application à une loi de composition partielle”, Séminaire Dubreil-Pisot (Algèbre et théorie des nombres) 18 (1964/65) 1-21.
D. Huguet and D. Tamari, “La structure polyédrale des complexes de parénthesages”, J. Comb., Inf. & Syst. Sci. 3 (1978) 69-81.
I. Sols, “Federico Gaeta, among the last classics”, in Liaison, Schottky Problem and Invariant Theory: Remembering Federico Gaeta, eds. M.E. Alonso, E. Arrondo and R. Mallavibarrena and I. Sols, Progress in Mathematics 280, Birkhäuser, Basel, 2010, 3-6; C. Ciliberto, “Federico Gaeta and his Italian heritage”, loc. cit., 9-33.
K.D. Magill, Jr., “An interview with John Isbell”, Topol. Commentary 1(2) (1996).
K.D. Magill and S. Subbiah, “Regular J-classes of semigroups of continua”, Semigroup Forum 22 (1981) 159-179.
J.K. Luedeman, “On the embedding of compact domains”, Math. Z. 115 (1970) 113-116; “On the embedding of topological domains into quotient fields”, manuscripta math. 3 (1970) 213-226.
K.E. Osondu, “Symmetrizations of semigroups”, Semigroup Forum 24 (1982) 67-75; “Malcev sequences and associative symmetrizations”, Semigroup Forum 29 (1984) 61-73.
Letter, Tamari to Montgomery (January 12, 1967), SWLLAC-T38.
Letter, Gödel to Faculty of Math. (February 9,1967), PUL-G: Tamari, Dov, 1959-61,1966-67, Box 3b, Folder 180, document no. 012707; also SWLLAC-T38.
D. Tamari, “The equivalence of associativity and word-problems”, Queen’s Papers in Pure andAppl. Math. 25 (1970) 171-189.
R. Hrmová, “Partial groupoids with some associativity conditions”, Mathematica Slovaca 21 (1971)285-311.
P.W. Bunting, J. van Leeuwen and D. Tamari, “Deciding associativity for partial multiplication tables of order 3”, Math. Comp. 32 (1978) 593-605.
Report from CAFTES, Notices of the AMS 30 (1983) 232-233.
Letter, Carl Alpert (Executive Vice Chairman, Board of Governors, Technion) to Oppenheimer (June 18, 1963), SWLLAC-T136.
Letter, Tamari to Oppenheimer (May 14, 1963), SWLLAC-T136.
Letter, Oppenheimer to Dori (May 29, 1963), SWLLAC-T136.
Letter, Dori to Oppenheimer (June 19, 1963), SWLLAC-T136.
Letter, Tamari to Oppenheimer (February 26, 1964), SWLLAC-T136.
Letter, Herbstein to Tamari (July 15, 1963), SWLLAC-T136.
Letter, Goldberg to Hacquaert (January 16, 1968), NHA-F1857.
Letter, Tamari to Hacquaert (February 15, 1968), NHA-F1857.
Letter, Freudenthal to Merikoski (President of IAUPL) (Jan 7, 1972), NHA-F1857.
R. Yaron, “Die Entscheidung im Schiedsgericht zwischen Professor Dov Tamari und dem Technion Israel Institute of Technology”, German translation of the decision of the court of arbitration (original in Hebrew), April 15 (1970), NHA-F1857.
Letter, Tamari to Freudenthal (April 9, 1971), NHA-F74.
Letter, Freudenthal to Tamari (May 5, 1971), NHA-F74.
Letter, Freudenthal to Gödel (May 28, 1971), PUL-G: Tamari, Dov, re: Tamari vs. Technion Israel 1968, 1971, Box 3b, Folder 181, attachment no. 012729; also NHA-F1857.
D. Tamari, “The Affair Tamari-Technion, or About Israeli Universities and their Professors’ Associations”, (Febr./March 1971), PUL-G: Tamari, Dov, re: Tamari vs. Technion Israel 1968, 1971, Box 3b, Folder 181, document no. 012731; also NHA-F1857.
Draft of letter to the President of Technion (1971), PUL-G: Tamari, Dov, re: Tamari vs. Technion Israel 1968, 1971, Box 3b, Folder 181, document no. 012730; also NHA-F1857.
Letter, Cartan to Freudenthal (June 5, 1971), NHA-F1857.
C. Thomassen, “Gabriel Andrew Dirac”, J. Graph Theory 9 (1985) 303-318.
Letter, Pedersen et al to Freudenthal (June 7, 1971), NHA-F1857.
Letter, Gödel to Freudenthal (July 27, 1971), PUL-G: Tamari, Dov, re: Tamari vs. Technion Israel 1968, 1971, Box 3b, Folder 181, document no. 012736; also NHA-F1857.
Letter, President of Technion to Freudenthal (July 11, 1971), NHA-F1857.
A. Robinson, “A note on embedding problems”, Fund. Math. 50 (1962) 455-461.
Letter, Jacobson and Robinson to Freudenthal (July 12, 1971), NHA-F1857.
Letter, Freudenthal to President of Technion (August 19, 1971), NHA-F1857.
Letter, President of Technion to Freudenthal (November 16, 1971), NHA-F1857.
D. Tamari, Selected comments to Goldberg’s letter to Freudenthal of Nov. 16,1971 (December 14, 1971), NHA-F1857.
Letter, Freudenthal to President of Technion (January 10, 1972), NHA-F1857.
Letter, President of Technion to Freudenthal (January 26, 1972), NHA-F1857.
Letter, Dirac and Myhill to Tamari (January 11, 1972), NHA-F1857.
Letter, Katchalski to Freudenthal (July 19, 1971), NHA-F1857.
Letter, Kleene to Freudenthal (June 15, 1971), NHA-F1857.
Letter, Tamari to Editor of the Notices of the AMS (March 23, 1971), NHA-F74.
Letter, Jacobson to Tamari (June 19, 1972), NHA-F1857.
Letter, Tamari to Jacobson (July 3, 1972), NHA-F1857.
E. Pitcher, A History of the Second Fifty Years American Mathematical Society 1939-1988, AMS, Providence, 1988, 290-291.
Letter, Freudenthal to Tamari (October 2, 1972), NHA-F1857.
Letter, Mostert to Freudenthal (November 2, 1972), NHA-F1857.
Letter, Mostert to Goldberg (December 4, 1972), NHA-F1857.
Letter, Mostert to Tamari (December 4, 1972), NHA-F1857.
Letter, Tamari to Mostert (March 12, 1973), NHA-F1857.
Letter, Mostert to Tamari (December 11, 1973), NHA-F1857.
Letter, Ginzburg to Gödel (April 24, 1973), PUL-G: Tamari, Dov, 1973, undated, Box 3b, Folder 182, document no. 012747.
Letter, Tamari to Freudenthal (February 11, 1974), NHA-F1857.
Letter, Tamari to Mostert (January 6, 1974), NHA-F1857.
Letter, Tamari to Mostert (January 16, 1974), NHA-F1857.
Letter, Tamari to Freudenthal (May 15, 1983), NHA-F74.
D. Bowman and D. Tamari, in Abstracts of papers presented to the AMS 9 (1988) 415, 502.
D. Klein, “Lebenswege der Mathematikprofessoren kreüzten sich”, uniforum, Zeitüng der Jüstüs-Liebig-Universität Gießen, 21. Jahrgang, Nr. 2 (May 15, 2008), 14.
Letter, Tamari to Dautzenberg (December 8, 1989).
Letter, Cartan to Freudenthal (February 27, 1972), NHA-F1857.
D. Tamari, “200 years theorem of Gauß 1797-1997”, unpublished manuscript (1997).
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Müller-Hoissen, F., Walther, HO. (2012). Dov Tamari (formerly Bernhard Teitler). In: Müller-Hoissen, F., Pallo, J., Stasheff, J. (eds) Associahedra, Tamari Lattices and Related Structures. Progress in Mathematics, vol 299. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0405-9_1
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