Rings close to semiregular

Pinar Aydoǧdu; Yang Lee; A. Çiǧdem Özcan

doi:10.4134/JKMS.2012.49.3.605

Rings close to semiregular

Cebir ve Sayılar Teorisi Anabilim Dalı

Pusan National University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

A ring R is called semiregular if R=J is regular and idem-potents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R=J satises one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) π-regular.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	605-622
Sayfa sayısı	18
Dergi	Journal of the Korean Mathematical Society
Hacim	49
Basın numarası	3
DOI'lar	https://doi.org/10.4134/JKMS.2012.49.3.605
Yayın durumu	Yayınlandı - 2012

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10.4134/JKMS.2012.49.3.605

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title = "Rings close to semiregular",

abstract = "A ring R is called semiregular if R=J is regular and idem-potents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R=J satises one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) π-regular.",

keywords = "Idempotent lifting, Semi (strongly) π-regular ring, Semi unit-regular ring",

author = "Pinar Aydoǧdu and Yang Lee and \{{\c C}iǧdem {\"O}zcan\}, A.",

year = "2012",

doi = "10.4134/JKMS.2012.49.3.605",

language = "English",

volume = "49",

pages = "605--622",

journal = "Journal of the Korean Mathematical Society",

issn = "0304-9914",

publisher = "Korean Mathematical Society",

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TY - JOUR

T1 - Rings close to semiregular

AU - Aydoǧdu, Pinar

AU - Lee, Yang

AU - Çiǧdem Özcan, A.

PY - 2012

Y1 - 2012

N2 - A ring R is called semiregular if R=J is regular and idem-potents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R=J satises one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) π-regular.

AB - A ring R is called semiregular if R=J is regular and idem-potents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R=J satises one of the following conditions: (one-sided) unit-regular, strongly regular, (unit, strongly, weakly) π-regular.

KW - Idempotent lifting

KW - Semi (strongly) π-regular ring

KW - Semi unit-regular ring

UR - https://www.scopus.com/pages/publications/84863155183

UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=performanshacettepe&SrcAuth=WosAPI&KeyUT=WOS:000303627300010&DestLinkType=FullRecord&DestApp=WOS_CPL

U2 - 10.4134/JKMS.2012.49.3.605

DO - 10.4134/JKMS.2012.49.3.605

M3 - Article

AN - SCOPUS:84863155183

SN - 0304-9914

VL - 49

SP - 605

EP - 622

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 3

ER -

Rings close to semiregular

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