algebra universalis

, Volume 25, Issue 1, pp 322–333 | Cite as

On permutative semigroup algebras

  • Thomas E. Nordahl
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References

  1. J. Brinckmann,On the Least Separative Congurence on a Semigroup, Semigroup forum,30 (1984), 365–370.Google Scholar
  2. A. H.Clifford and G. B.Preston,The Algebraic Theory of Semigroups, Vol. 1, Math. Surveys of the Amer. Math. Soc. 7, Providence, R.I., 1961.Google Scholar
  3. L. M. Gluskin,On Separative Semigroups, Izv. Vyss. Ucebn. Zaved. Mat.9 (112) (1971) (, 30–39 (Russian).Google Scholar
  4. I. N.Herstein,Noncommutative Rings, Carus Math. Monographs, Vol. 15, Math. Assoc. of America, 1968.Google Scholar
  5. W. D. Munn,On Commutative Semigroup Algebras, Math. Proc. Cambridge Phil. Soc.,93 (1983), 237–246.Google Scholar
  6. T. Nordahl,Residual Finiteness in Permutation Varieties of Semigroups, Semigroup Forum31 (1985), 33–46.Google Scholar
  7. J. Okniński,On the Radical of Semigroup Algebras Satisfying Polynomial Identities, Math. Proc. Cambridge Phil. Soc.,99 (1986), 45–50.Google Scholar
  8. D. Passman,Infinite Group Rings, Marcel Dekker Inc., New York, 1971.Google Scholar
  9. D. Passman,The Algebraic Theory of Group Rings, Wiley, N.Y., 1977.Google Scholar
  10. P. Perkins,Bases of Equatorial Theories of Semigroups, J. Algebra,11 (1969), 298–314.Google Scholar
  11. M. Petrich,The Maximal Semilattice Decomposition of a Semigroup, Math. Zeitschr.,85 (1964), 68–82.Google Scholar
  12. M. Petrich,Introduction to Semigroups, Merrill, Columbs, Ohio, 1973.Google Scholar
  13. M. S. Putcha,Semilattice Decomposition of Semigroups, Semigroup Forum, 6 (1973), 12–34.Google Scholar
  14. M. S. Putcha andA. Yaqub,Semigroups Satisfying Permutation Identities, Semigroup Forum,3 (1971), 68–73.Google Scholar
  15. T. Tamura,The Theory of Construction of Finite Semigroups I, Osaka Math. J.,8 (1956), 243–261.Google Scholar
  16. T. Tamura,Another Proof Concerning the Greatest Semilattice Decomposition of a Semigroup, Proc. Japan Acad.,40 (1964), 777–780.Google Scholar
  17. T. Tamura, and N. Kimura,On Decompositions of a Commutative Semigroup, Kodai Math. Sem. Rep.,4 (1954), 109–112.Google Scholar
  18. M. L. Teply, E. G. Turman and A. Quesada,On Semisimple Semigroup Rings, Proc. Amer. Math. Soc,79 (1980), 157–163.Google Scholar
  19. J. Weissglass,Semigroup rings and Semilattice Sums of Rings, Proc. Amer. Math. Soc.,39 (1973), 471–478.Google Scholar
  20. R. Yoshida and M. Yamada,On Commutativity of a Semigroup which is a Semilattice of Commutative Semigroups, J. Algebra,10 (1968), 278–297.Google Scholar
  21. E. I. Zelmanov,Semigroup Algebra with Identities, Sib. Math. J.,18 (1977), 787–798.Google Scholar

Copyright information

© Birkhäuser Verlag 1988

Authors and Affiliations

  • Thomas E. Nordahl
    • 1
  1. 1.Brain Imaging SectionNational Institute of Mental HealthBethesda

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