On rigid monoids and 2-fir monoid rings

Ferran Cedó; Andreu Pitarch

doi:10.1080/00927879208824464

On rigid monoids and 2-fir monoid rings

Ferran Cedó, Andreu Pitarch

Department of Mathematics

Research output: Contribution to journal › Article › Research

2 Citations (Scopus)

Abstract

It is proved that the universal group of a torsion free rigid monoid is torsion free. As a consequence, a new condition on a monoid M for the monoid ring R[M] to be a 2-fir is given. Furthermore, the monoids between a rigid monoid and its universal group are studied. © 1992, Taylor & Francis Group, LLC. All rights reserved.

Original language	English
Pages (from-to)	2295-2303
Journal	Communications in Algebra
Volume	20
Issue number	8
DOIs	https://doi.org/10.1080/00927879208824464
Publication status	Published - 1 Jan 1992

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10.1080/00927879208824464

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abstract = "It is proved that the universal group of a torsion free rigid monoid is torsion free. As a consequence, a new condition on a monoid M for the monoid ring R[M] to be a 2-fir is given. Furthermore, the monoids between a rigid monoid and its universal group are studied. {\textcopyright} 1992, Taylor & Francis Group, LLC. All rights reserved.",

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AU - Pitarch, Andreu

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AB - It is proved that the universal group of a torsion free rigid monoid is torsion free. As a consequence, a new condition on a monoid M for the monoid ring R[M] to be a 2-fir is given. Furthermore, the monoids between a rigid monoid and its universal group are studied. © 1992, Taylor & Francis Group, LLC. All rights reserved.

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DO - 10.1080/00927879208824464

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VL - 20

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

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On rigid monoids and 2-fir monoid rings

Abstract

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