Exchange rings satisfying the related comparability.

Huanyin Chen; Fu-An Li

Collectanea Mathematica (2002)

  • Volume: 53, Issue: 2, page 157-164
  • ISSN: 0010-0757

Abstract

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In this paper we investigate the related comparability over exchange rings. It is shown that an exchange ring R satisfies the related comparability if and only if for any regular x C R, there exists a related unit w C R and a group G in R such that wx C G.

How to cite

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Chen, Huanyin, and Li, Fu-An. "Exchange rings satisfying the related comparability.." Collectanea Mathematica 53.2 (2002): 157-164. <http://eudml.org/doc/42891>.

@article{Chen2002,
abstract = {In this paper we investigate the related comparability over exchange rings. It is shown that an exchange ring R satisfies the related comparability if and only if for any regular x C R, there exists a related unit w C R and a group G in R such that wx C G.},
author = {Chen, Huanyin, Li, Fu-An},
journal = {Collectanea Mathematica},
keywords = {Anillos regulares; Anillos de intercambio; Comparabilidad; exchange rings; related comparability; central idempotents; related units; generalized inverses},
language = {eng},
number = {2},
pages = {157-164},
title = {Exchange rings satisfying the related comparability.},
url = {http://eudml.org/doc/42891},
volume = {53},
year = {2002},
}

TY - JOUR
AU - Chen, Huanyin
AU - Li, Fu-An
TI - Exchange rings satisfying the related comparability.
JO - Collectanea Mathematica
PY - 2002
VL - 53
IS - 2
SP - 157
EP - 164
AB - In this paper we investigate the related comparability over exchange rings. It is shown that an exchange ring R satisfies the related comparability if and only if for any regular x C R, there exists a related unit w C R and a group G in R such that wx C G.
LA - eng
KW - Anillos regulares; Anillos de intercambio; Comparabilidad; exchange rings; related comparability; central idempotents; related units; generalized inverses
UR - http://eudml.org/doc/42891
ER -

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