On semifir monoid rings.

Ferrán Cedó Gine

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 1, page 123-132
  • ISSN: 0214-1493

Abstract

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We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Furthermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units of M is trivial, but M is not a directed union of free monoids.

How to cite

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Cedó Gine, Ferrán. "On semifir monoid rings.." Publicacions Matemàtiques 33.1 (1989): 123-132. <http://eudml.org/doc/41071>.

@article{CedóGine1989,
abstract = {We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Furthermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units of M is trivial, but M is not a directed union of free monoids.},
author = {Cedó Gine, Ferrán},
journal = {Publicacions Matemàtiques},
keywords = {Anillos monoides; Monoides libres; Ideales; monoid ring; skew field; directed union of free products of free groups and free monoids; semifir},
language = {eng},
number = {1},
pages = {123-132},
title = {On semifir monoid rings.},
url = {http://eudml.org/doc/41071},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Cedó Gine, Ferrán
TI - On semifir monoid rings.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 1
SP - 123
EP - 132
AB - We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Furthermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units of M is trivial, but M is not a directed union of free monoids.
LA - eng
KW - Anillos monoides; Monoides libres; Ideales; monoid ring; skew field; directed union of free products of free groups and free monoids; semifir
UR - http://eudml.org/doc/41071
ER -

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