Download PDF - Derivations in some finite endomorphism semiringsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Derivations in some finite endomorphism semirings

Authors 1

Affiliations

  1. Technical University of Sofia, Faculty of Applied Mathematics and Informatics, Department of Algebra and Geometry

Abstract

The goal of this paper is to provide some basic structure information on derivations in finite semirings.

Keywords

ENG
endomorphism semiring, derivations, differential algebra

Bibliography

  1. Rings with generalized identities (Marcel Dekker, 1996).
  2. Classical Finite Transformation Semigroups: An Introduction (Springer-Verlag London Limited, 2009). doi: 10.1007/978-1-84800-281-4
  3. Semirings and Their Applications (Kluwer, Dordrecht, 1999).
  4. Jordan derivations of prime rings, Proc. Amer. Math. Soc. 8 (1957) 1104-1110. doi: 10.1090/S0002-9939-1957-0095864-2
  5. Lie and Jordan structures in simple, associative rings, Bull. Amer. Math. Soc. 67 (1961) 517-531. doi: 10.1090/S0002-9904-1961-10666-6
  6. Noncommutative Rings (Carus Mathematical Monographs, 1968).
  7. On the Lie structure of an associative ring, J. Algebra 14 (1970) 561-571. doi: 10.1016/0021-8693(70)90103-1
  8. J. Jeẑek, T. Kepka and M. Maròti, The endomorphism semiring of a semilattice, Semigroup Forum 78 (2009) 21-26. doi: 10.1007/s00233-008-9045-9
  9. Differential Algebra and Algebraic Groups (Academic Press, New York, London, 1973).
  10. On finite congruence-simple semirings, J. Algebra 271 (2004) 846-854. doi: 10.1016/jalgebra2003.09.034
  11. Differential Algebra (Amer. Math. Soc. Colloq. Publ. 33, New York 1950).
  12. The endomorphism semiring of a finite chain, Proc. Techn. Univ.-Sofia 61 (2011) 9-18 ISSN 1311-0829
  13. Endomorphism semirings without zero of a finite chain, Proc. Techn. Univ.-Sofia 61 (2011) 9-18 ISSN 1311-0829
  14. I. Trendafilov and D. Vladeva, On some subsemigroups of the partial transformation semigroup, in: Appl.Math. in Eng. and Econ.-38th Int. Conf. 2012, G.Venkov(Ed(s)), (AIP Conf. Proc. 1497, 2012) 371-378. doi: 10.1063/1.4766807
  15. Classification of finite congruence-simple semirings with zero, J. Algebra Appl. 7 (2008) 363-377. doi: 10.1142/S0219498808002862
Discussiones Mathematicae - General Algebra and Applications
2012/32/1
Export to PBN, Opens in new tab
Pages:
77-100
Main language of publication
English
Received
2012-11-17
Accepted
2012-11-23
Published
2012

DOI: 10.7151/dmgaa.1191

Exact and natural sciences