Rings whose modules are ⊕ -supplemented

Derya Keskin; Patrick F. Smith; Weimin Xue

doi:10.1006/jabr.1998.7830

Rings whose modules are ⊕ -supplemented

Derya Keskin
, Patrick F. Smith
, Weimin Xue

Division of Algebra and Number Theory

University of Glasgow
University of Iowa
Fujian Normal University

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

29 Citations (Scopus)

Abstract

We prove that a ring R is serial if and only if every finitely presented right and left R-module is ⊕ -supplemented, and that R is artinian serial if and only if every right and left R-module is ⊕ -supplemented.

Original language	English
Pages (from-to)	470-487
Number of pages	18
Journal	Journal of Algebra
Volume	218
Issue number	2
DOIs	https://doi.org/10.1006/jabr.1998.7830
Publication status	Published - 15 Aug 1999

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title = "Rings whose modules are ⊕ -supplemented",

abstract = "We prove that a ring R is serial if and only if every finitely presented right and left R-module is ⊕ -supplemented, and that R is artinian serial if and only if every right and left R-module is ⊕ -supplemented.",

author = "Derya Keskin and Smith, \{Patrick F.\} and Weimin Xue",

year = "1999",

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T1 - Rings whose modules are ⊕ -supplemented

AU - Keskin, Derya

AU - Smith, Patrick F.

AU - Xue, Weimin

PY - 1999/8/15

Y1 - 1999/8/15

N2 - We prove that a ring R is serial if and only if every finitely presented right and left R-module is ⊕ -supplemented, and that R is artinian serial if and only if every right and left R-module is ⊕ -supplemented.

AB - We prove that a ring R is serial if and only if every finitely presented right and left R-module is ⊕ -supplemented, and that R is artinian serial if and only if every right and left R-module is ⊕ -supplemented.

UR - https://www.scopus.com/pages/publications/0033566501

U2 - 10.1006/jabr.1998.7830

DO - 10.1006/jabr.1998.7830

M3 - Article

AN - SCOPUS:0033566501

SN - 0021-8693

VL - 218

SP - 470

EP - 487

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Rings whose modules are ⊕ -supplemented

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