Modules with semiregular endomorphism rings

Kunio Yamagata

Colloquium Mathematicae (2008)

  • Volume: 113, Issue: 2, page 241-250
  • ISSN: 0010-1354

Abstract

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We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.

How to cite

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Kunio Yamagata. "Modules with semiregular endomorphism rings." Colloquium Mathematicae 113.2 (2008): 241-250. <http://eudml.org/doc/283816>.

@article{KunioYamagata2008,
abstract = {We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.},
author = {Kunio Yamagata},
journal = {Colloquium Mathematicae},
keywords = {injective modules; endomorphism rings; semiregular rings; von Neumann regular rings; idempotents; endomorphisms with large kernel},
language = {eng},
number = {2},
pages = {241-250},
title = {Modules with semiregular endomorphism rings},
url = {http://eudml.org/doc/283816},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Kunio Yamagata
TI - Modules with semiregular endomorphism rings
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 2
SP - 241
EP - 250
AB - We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
LA - eng
KW - injective modules; endomorphism rings; semiregular rings; von Neumann regular rings; idempotents; endomorphisms with large kernel
UR - http://eudml.org/doc/283816
ER -

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