Clean-like properties in pullbacks and amalgamation rings

A. Mimouni

doi:10.1007/s10474-018-0859-y

Clean-like properties in pullbacks and amalgamation rings

A. Mimouni^*

^*Corresponding author for this work

Department of Mathematics

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

3 Scopus citations

Abstract

We study the transfer of the notions of clean rings, weakly clean rings, almost clean rings and unit regular rings to various context of pullbacks and amalgamations. Our attempt is to present original and new classes of these rings.

Original language	English
Pages (from-to)	91-101
Number of pages	11
Journal	Acta Mathematica Hungarica
Volume	156
Issue number	1
DOIs	https://doi.org/10.1007/s10474-018-0859-y
State	Published - 1 Oct 2018

Bibliographical note

Publisher Copyright:
© 2018, Akadémiai Kiadó, Budapest, Hungary.

Keywords

almost clean ring
amalgamation
clean ring
pullbacks
unit regular ring
weakly clean ring

ASJC Scopus subject areas

General Mathematics

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10.1007/s10474-018-0859-y

Cite this

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title = "Clean-like properties in pullbacks and amalgamation rings",

abstract = "We study the transfer of the notions of clean rings, weakly clean rings, almost clean rings and unit regular rings to various context of pullbacks and amalgamations. Our attempt is to present original and new classes of these rings.",

keywords = "almost clean ring, amalgamation, clean ring, pullbacks, unit regular ring, weakly clean ring",

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AB - We study the transfer of the notions of clean rings, weakly clean rings, almost clean rings and unit regular rings to various context of pullbacks and amalgamations. Our attempt is to present original and new classes of these rings.

KW - almost clean ring

KW - amalgamation

KW - clean ring

KW - pullbacks

KW - unit regular ring

KW - weakly clean ring

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JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 1

ER -

Clean-like properties in pullbacks and amalgamation rings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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