γ-DERIVATIONS IN RINGS

S. Aishwarya; Kedukodi Babushri; Kuncham Syam Prasad

γ-DERIVATIONS IN RINGS

S. Aishwarya
, Kedukodi Babushri^*
, Kuncham Syam Prasad

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We introduce the notion of γ-derivations in rings and obtain commutativity results in a prime ring R admitting multiplicative γ-derivations. We show that the symmetry of γ with various conditions on Lie products and Jordan products gives rise to commutativity of R. We obtain (i) a characterization of Galois field of any characteristic by using Lie product and γderivation, and (ii) a characterization of Galois field of characteristic 2 by using Jordan product and γ-derivation.

Original language	English
Pages (from-to)	432-441
Number of pages	10
Journal	Palestine Journal of Mathematics
Volume	12
Issue number	1
Publication status	Published - 2023

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "γ-DERIVATIONS IN RINGS",

abstract = "We introduce the notion of γ-derivations in rings and obtain commutativity results in a prime ring R admitting multiplicative γ-derivations. We show that the symmetry of γ with various conditions on Lie products and Jordan products gives rise to commutativity of R. We obtain (i) a characterization of Galois field of any characteristic by using Lie product and γderivation, and (ii) a characterization of Galois field of characteristic 2 by using Jordan product and γ-derivation.",

author = "S. Aishwarya and Kedukodi Babushri and Prasad, \{Kuncham Syam\}",

note = "Funding Information: The authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for their encouragement. The first author acknowledges Manipal Academy of Higher Education for Dr TMA Pai PhD scholarship. Publisher Copyright: {\textcopyright} Palestine Polytechnic University-PPU 2023.",

year = "2023",

language = "English",

volume = "12",

pages = "432--441",

journal = "Palestine Journal of Mathematics",

issn = "2219-5688",

publisher = "Palestine Polytechnic University",

number = "1",

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TY - JOUR

T1 - γ-DERIVATIONS IN RINGS

AU - Aishwarya, S.

AU - Babushri, Kedukodi

AU - Prasad, Kuncham Syam

N1 - Funding Information: The authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for their encouragement. The first author acknowledges Manipal Academy of Higher Education for Dr TMA Pai PhD scholarship. Publisher Copyright: © Palestine Polytechnic University-PPU 2023.

PY - 2023

Y1 - 2023

N2 - We introduce the notion of γ-derivations in rings and obtain commutativity results in a prime ring R admitting multiplicative γ-derivations. We show that the symmetry of γ with various conditions on Lie products and Jordan products gives rise to commutativity of R. We obtain (i) a characterization of Galois field of any characteristic by using Lie product and γderivation, and (ii) a characterization of Galois field of characteristic 2 by using Jordan product and γ-derivation.

AB - We introduce the notion of γ-derivations in rings and obtain commutativity results in a prime ring R admitting multiplicative γ-derivations. We show that the symmetry of γ with various conditions on Lie products and Jordan products gives rise to commutativity of R. We obtain (i) a characterization of Galois field of any characteristic by using Lie product and γderivation, and (ii) a characterization of Galois field of characteristic 2 by using Jordan product and γ-derivation.

UR - https://www.scopus.com/pages/publications/85153741715

UR - https://www.scopus.com/pages/publications/85153741715#tab=citedBy

M3 - Article

AN - SCOPUS:85153741715

SN - 2219-5688

VL - 12

SP - 432

EP - 441

JO - Palestine Journal of Mathematics

JF - Palestine Journal of Mathematics

IS - 1

ER -

γ-DERIVATIONS IN RINGS

Abstract

All Science Journal Classification (ASJC) codes

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