Zero-Dimensionality and Serre Rings

Karim, D.

Serdica Mathematical Journal (2004)

  • Volume: 30, Issue: 1, page 87-94
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union of Artinian subrings.

How to cite

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Karim, D.. "Zero-Dimensionality and Serre Rings." Serdica Mathematical Journal 30.1 (2004): 87-94. <http://eudml.org/doc/219564>.

@article{Karim2004,
abstract = {2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union of Artinian subrings.},
author = {Karim, D.},
journal = {Serdica Mathematical Journal},
keywords = {Zero–Dimensional Ring; Semi–Quasilocal Ring; Nagata Ring; von Neumann Regular Ring; Directed Union of Artinian Subrings; Serre Ring; zero-dimensional ring; von Neumann regular ring; directed union of Artinian subrings; Serre ring},
language = {eng},
number = {1},
pages = {87-94},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Zero-Dimensionality and Serre Rings},
url = {http://eudml.org/doc/219564},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Karim, D.
TI - Zero-Dimensionality and Serre Rings
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 1
SP - 87
EP - 94
AB - 2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union of Artinian subrings.
LA - eng
KW - Zero–Dimensional Ring; Semi–Quasilocal Ring; Nagata Ring; von Neumann Regular Ring; Directed Union of Artinian Subrings; Serre Ring; zero-dimensional ring; von Neumann regular ring; directed union of Artinian subrings; Serre ring
UR - http://eudml.org/doc/219564
ER -

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