Abstract
This paper is a continuation of [11]. Here we study all identities which induce decompositions into nil-extensions of a union of groups and identities which induce various special types of these decompositions.
Similar content being viewed by others
References
Bogdanović, S.,Semigroups with a system of subsemigroups, Inst. of Math. Novi Sad, 1985.
Bogdanović, S.,Inflations of a union of groups, Matematićki Vesnik37 (1985), 351–353.
Bogdanović, S.,Nil-extensions of a completely regular semigroup, Proc. of the Conf. “Algebra and Logic”, Sarajevo 1987, Univ. of Novi Sad 1989, 7–15.
Bogdanović, S. and M. Ćirić,A Nil-extension of a regular semigroup, Glasnik Matematički, Vol.25 (2) (1991), 3–23.
Bogdanović, S. and M. Ćirić,Retractive nil-extensions of regular semigroups, I, Proc. Japan Academy68A (5) (1992), 115–117.
Bogdanović, S. and M. Ćirić,Retractive nil-extensions of regular semigroups, II, Proc. Japan Academy68A (6) (1992), 126–130.
Bogdanović, S. and T. Malinović,(m, n)-Two-sided pure semigroups, Comm. Math. Univ. Sancti Pauli35 (1986), 215–221.
Bogdanović, S. and S. Milić,Inflations of semigroups, Publ. Inst. Math.41 (55) (1987), 63–73.
Bogdanović, S. and B. Stamenković,Semigroups in which S n+1 is a semilattice of right groups (Inflations of a semilattice of right groups), Note di Matematica8 (1988), 155–172.
Ćirić, M. and S. Bogdanović,Rings-whose multiplicative semigroups are nil-extensions of a union of groups, PU.M.A. Ser. A, Vol.1 (1990), No. 3-4, 217–234.
Ćirić, M and S. Bogdanović,Decompositions of semigroups induced by identities, Semigroup Forum (to appear).
Clarke, G.,Semigroup varieties of inflations of unions of groups, Semigroup Forum23 (1981), 31–319.
Gerhard, J. A.,Semigroup with idempotent power II, Semigroup Forum14 (1977), 375–388.
Can't Read Name,2 (1967), 346–365.
Munn, W. D.,Pseudoinverses in semigroups, Proc Camb. Phil. Soc.57 (1961), 247–250.
Petrich, M.,Structures des demi-groupes et anneaux distributifs, C. R. Acad. Sci. Paris, Sr. A,268 (1969), 849–852.
Petrich, M.,Lectures in semigroups, Akad. Verlag Berlin, 1977.
Putcha, M. S. and J. Weissglass,Semigroups satisfying variable identities, Semigroup Forum3 (1971), 64–67.
Putcha, M.S. and J. Weissglass,Semigroups satisfying variable identities II, Trans. Amer. Math. Soc.168 (1972), 113–119.
Can't Read Name,12 (1985), 71–74.
Lee, S.-M.,Rings and semigroups which satisfy the identity (xy) n =xy=x n y n, Nanta Math.6 (1) (1973) m 21–28.
Tamura, T.,Semigroups satisfying identity xy=f(x,y), Pacific J. Math.31 (1969), 513–521.
Can't Read Name,12 (1985), 71–74.
Tully, E. J.,Semigroups satisfying an identity of the form xy=y m x n (via [22]).
Veronesi, M. L.,Sui semigruppi quasi fortemente regolari, Riv. Mat. Univ. Parma (4)10 (1984), 319–329.
Author information
Authors and Affiliations
Additional information
Communicated by Boris M. Schein
Supported by Grant 0401A of SF Servia through Math. Inst. SANU.
Rights and permissions
About this article
Cite this article
Ćirić, M., Bogdanović, S. Nil-extensions of unions of groups induced by identities. Semigroup Forum 48, 303–311 (1994). https://doi.org/10.1007/BF02573679
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02573679