Inverting elements in rigid monoids

Ramon Antoine; Ferran Cedó

doi:https://doi.org/10.1081/AGB-120022786

Inverting elements in rigid monoids

Ramon Antoine, Ferran Cedó

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

It is proved that the monoids between an archimedean, irrefiexive and rigid monoid M and its universal group G, obtained by adjoining inverses to M, are archimedean, irreflexive and rigid monoids.

Original language	English
Pages (from-to)	4179-4194
Journal	Communications in Algebra
Volume	31
DOIs	https://doi.org/10.1081/AGB-120022786
Publication status	Published - 1 Sep 2003

Keywords

2-fir
Archimedean monoid
Irreflexive monoid
Monoid ring
Rigid monoid

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title = "Inverting elements in rigid monoids",

abstract = "It is proved that the monoids between an archimedean, irrefiexive and rigid monoid M and its universal group G, obtained by adjoining inverses to M, are archimedean, irreflexive and rigid monoids.",

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T1 - Inverting elements in rigid monoids

AU - Antoine, Ramon

AU - Cedó, Ferran

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N2 - It is proved that the monoids between an archimedean, irrefiexive and rigid monoid M and its universal group G, obtained by adjoining inverses to M, are archimedean, irreflexive and rigid monoids.

AB - It is proved that the monoids between an archimedean, irrefiexive and rigid monoid M and its universal group G, obtained by adjoining inverses to M, are archimedean, irreflexive and rigid monoids.

KW - 2-fir

KW - Archimedean monoid

KW - Irreflexive monoid

KW - Monoid ring

KW - Rigid monoid

U2 - https://doi.org/10.1081/AGB-120022786

DO - https://doi.org/10.1081/AGB-120022786

M3 - Article

VL - 31

SP - 4179

EP - 4194

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

ER -