Rank of elements of general rings in connection with unit-regularity

FMF, Mathematical Library, Lj. (MAKLJ)

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Rank of elements of general rings in connection with unit-regularity

Stopar, Nik

We define the rank of elements of general unital rings, discuss its properties and give several examples to support the definition. In semiprime rings we give a characterization of rank in terms of ... invertible elements. As an application we prove that every element in the socle of a unital semiprime ring is unit-regular.

Source: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 224, iss. 4, Apr. 2020, art. 106211 (11 str.))

Type of material - article, component part ; adult, serious

Publish date - 2020

Language - english

COBISS.SI-ID - 18923353

Link(s):
https://doi.org/10.1016/j.jpaa.2019.106211
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Author
Stopar, Nik

Topics
rank | minimal right ideal | idempotent | unit-regular elemen

Holdings

source: Journal of Pure and Applied Algebra. - ISSN 0022-4049 (Vol. 224, iss. 4, Apr. 2020, art. 106211 (11 str.))

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Stopar, Nik	32023

Source: Personal bibliographies and: SICRIS

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