Derivations in some finite endomorphism semirings

Ivan Dimitrov Trendafilov

Discussiones Mathematicae - General Algebra and Applications (2012)

  • Volume: 32, Issue: 1, page 77-100
  • ISSN: 1509-9415

Abstract

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

How to cite

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Ivan Dimitrov Trendafilov. "Derivations in some finite endomorphism semirings." Discussiones Mathematicae - General Algebra and Applications 32.1 (2012): 77-100. <http://eudml.org/doc/270558>.

@article{IvanDimitrovTrendafilov2012,
abstract = {The goal of this paper is to provide some basic structure information on derivations in finite semirings.},
author = {Ivan Dimitrov Trendafilov},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {endomorphism semiring; derivations; differential algebra; endomorphism semirings; finite semirings},
language = {eng},
number = {1},
pages = {77-100},
title = {Derivations in some finite endomorphism semirings},
url = {http://eudml.org/doc/270558},
volume = {32},
year = {2012},
}

TY - JOUR
AU - Ivan Dimitrov Trendafilov
TI - Derivations in some finite endomorphism semirings
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2012
VL - 32
IS - 1
SP - 77
EP - 100
AB - The goal of this paper is to provide some basic structure information on derivations in finite semirings.
LA - eng
KW - endomorphism semiring; derivations; differential algebra; endomorphism semirings; finite semirings
UR - http://eudml.org/doc/270558
ER -

References

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  5. [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 Zbl0107.02704
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  9. [9] Differential Algebra and Algebraic Groups (Academic Press, New York, London, 1973). 
  10. [10] On finite congruence-simple semirings, J. Algebra 271 (2004) 846-854. doi: 10.1016/jalgebra2003.09.034 Zbl1041.16041
  11. [11] Differential Algebra (Amer. Math. Soc. Colloq. Publ. 33, New York 1950). 
  12. [12] The endomorphism semiring of a finite chain, Proc. Techn. Univ.-Sofia 61 (2011) 9-18 ISSN 1311-0829 
  13. [13] Endomorphism semirings without zero of a finite chain, Proc. Techn. Univ.-Sofia 61 (2011) 9-18 ISSN 1311-0829 
  14. [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. [15] Classification of finite congruence-simple semirings with zero, J. Algebra Appl. 7 (2008) 363-377. doi: 10.1142/S0219498808002862 Zbl1155.16036

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