Exchange rings in which all regular elements are one-sided unit-regular

Huanyin Chen

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 4, page 899-910
  • ISSN: 0011-4642

Abstract

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Let R be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in R is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.

How to cite

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Chen, Huanyin. "Exchange rings in which all regular elements are one-sided unit-regular." Czechoslovak Mathematical Journal 58.4 (2008): 899-910. <http://eudml.org/doc/37875>.

@article{Chen2008,
abstract = {Let $R$ be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in $R$ is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.},
author = {Chen, Huanyin},
journal = {Czechoslovak Mathematical Journal},
keywords = {exchange ring; one-sided unit-regularity; idempotent; exchange rings; regular elements; one-sided unit-regularity; idempotents; units; related comparability},
language = {eng},
number = {4},
pages = {899-910},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exchange rings in which all regular elements are one-sided unit-regular},
url = {http://eudml.org/doc/37875},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Chen, Huanyin
TI - Exchange rings in which all regular elements are one-sided unit-regular
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 899
EP - 910
AB - Let $R$ be an exchange ring in which all regular elements are one-sided unit-regular. Then every regular element in $R$ is the sum of an idempotent and a one-sided unit. Furthermore, we extend this result to exchange rings satisfying related comparability.
LA - eng
KW - exchange ring; one-sided unit-regularity; idempotent; exchange rings; regular elements; one-sided unit-regularity; idempotents; units; related comparability
UR - http://eudml.org/doc/37875
ER -

References

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