Lie derivations of a matrix ring over an associative ring

Umut Sayın; Feride Kuzucuoğlu

doi:10.1080/00927872.2019.1632323

Lie derivations of a matrix ring over an associative ring

Umut Sayın
, Feride Kuzucuoğlu

Division of Algebra and Number Theory

Duzce University

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

Abstract

Let K be a two-torsion free associative ring with identity. We give a description of the Lie derivations of (Formula presented.) the ring of all (Formula presented.) matrices over K such that the entries on and above the main diagonal are elements of an ideal J of K.

Original language	English
Pages (from-to)	5482-5491
Number of pages	10
Journal	Communications in Algebra
Volume	47
Issue number	12
DOIs	https://doi.org/10.1080/00927872.2019.1632323
Publication status	Published - 2 Dec 2019

Keywords

Derivation
Lie derivation
matrix ring

Access to Document

10.1080/00927872.2019.1632323

Cite this

@article{71e8e9bb22014a19895e16b302f8d460,

title = "Lie derivations of a matrix ring over an associative ring",

abstract = "Let K be a two-torsion free associative ring with identity. We give a description of the Lie derivations of (Formula presented.) the ring of all (Formula presented.) matrices over K such that the entries on and above the main diagonal are elements of an ideal J of K.",

keywords = "Derivation, Lie derivation, matrix ring",

author = "Umut Sayın and Feride Kuzucuoğlu",

note = "Publisher Copyright: {\textcopyright} 2019, {\textcopyright} 2019 Taylor \& Francis Group, LLC.",

year = "2019",

month = dec,

day = "2",

doi = "10.1080/00927872.2019.1632323",

language = "English",

volume = "47",

pages = "5482--5491",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "12",

}

TY - JOUR

T1 - Lie derivations of a matrix ring over an associative ring

AU - Sayın, Umut

AU - Kuzucuoğlu, Feride

PY - 2019/12/2

Y1 - 2019/12/2

N2 - Let K be a two-torsion free associative ring with identity. We give a description of the Lie derivations of (Formula presented.) the ring of all (Formula presented.) matrices over K such that the entries on and above the main diagonal are elements of an ideal J of K.

AB - Let K be a two-torsion free associative ring with identity. We give a description of the Lie derivations of (Formula presented.) the ring of all (Formula presented.) matrices over K such that the entries on and above the main diagonal are elements of an ideal J of K.

KW - Derivation

KW - Lie derivation

KW - matrix ring

UR - https://www.scopus.com/pages/publications/85068549651

U2 - 10.1080/00927872.2019.1632323

DO - 10.1080/00927872.2019.1632323

M3 - Article

AN - SCOPUS:85068549651

SN - 0092-7872

VL - 47

SP - 5482

EP - 5491

JO - Communications in Algebra

JF - Communications in Algebra

IS - 12

ER -

Lie derivations of a matrix ring over an associative ring

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this