On derivations and Lie structure of semirings

Madhu Bala Dadhwal; Neelam

doi:10.26637/mjm1202/006

Abstract

In [8], Herstein introduced the notion of the Lie structure of associative rings and established the Lie type theory for rings. This paper extends these ring theoretical results and also extends some well known results of [3, 6, 7] in the framework of semirings, which are very important to investigate the Lie type theory of semirings and their higher commutators. Moreover, we characterize the Lie structure of semirings and thereby explore the action of derivations on Lie ideals of semirings.

Keywords:

Semiring, Commutator, Higher commutator, Lie ideal, Additively Regular Semiring, Pseudo inverse

Mathematics Subject Classification:

16Y60, 16Y99

Authors Imprint References Funding Related Articles Downloads

Madhu Bala Dadhwal Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India. https://orcid.org/0000-0002-6059-4408
Neelam Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India.

Pages: 206-217
Date Published: 01-04-2024
Vol. 12 No. 02 (2024): Malaya Journal of Matematik (MJM)

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