A study on derivations of inverse semirings with  involution

Dr. Madhu Dadhwal; Geeta  Devi

doi:10.22199/issn.0717-6279-5627

A study on derivations of inverse semirings with involution

Authors

Dr. Madhu Dadhwal Himachal Pradesh University, Shimla
Geeta Devi

DOI:

https://doi.org/10.22199/issn.0717-6279-5627

Keywords:

Semirings; inverse semirings; Lie ideals; derivations

Abstract

In this research article, we study the influence of derivations on semirings with involution which resembles with commutativity preserving mappings. The action of derivations on Lie ideals and some differential identities regarding Lie ideals are also investigated. It is proved that for any two derivations d1, d2 of a prime semiring S with involution ⋆ such that atleast one of d₁, d₂ is nonzero and char(S) 2, then the identity [d₁(a), d₂(a ^⋆ )] + d₂(a ◦ a ^⋆ ) = 0, for all a ∈ L implies [L , S] = (0), where L is a Lie ideal of S.

References

Prof. R.P. Sharma (Retd. Professor) Department of Mathematics & Statistics, Himachal Pradesh University Shimla-171005 India. Email ID: rp.math.hpu@gmail.com

Prof. S.kar, Department of Mathematics, Jadhavpur University Kolkata (India). Email ID: karsukhendu@yahoo.co.in

Published

2024-04-03

How to Cite

[1]

D. M. Dadhwal and G. . Devi, “A study on derivations of inverse semirings with involution”, Proyecciones (Antofagasta, On line), vol. 43, no. 2, pp. 383-400, Apr. 2024.

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Issue

Vol. 43 No. 2 (2024)

Section

Artículos

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