Construction of left fir monoid rings

Ferran Cedó; Andreu Pitarch

doi:https://doi.org/10.1006/jabr.1994.1137

Construction of left fir monoid rings

Ferran Cedó, Andreu Pitarch

Department of Mathematics

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

3 Citations (Scopus)

Abstract

Let α be an ordinal number. It is proved that there exists a monoid M with factorization depth τ(M) = α and the monoid ring R[M]; over any skew field R is a left fir. Furthermore a method for constructing all monoids M such that R[M] is a left fir is given. © 1994 Academic Press, Inc.

Original language	English
Pages (from-to)	645-660
Journal	Journal of Algebra
Volume	165
DOIs	https://doi.org/10.1006/jabr.1994.1137
Publication status	Published - 1 May 1994

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title = "Construction of left fir monoid rings",

abstract = "Let α be an ordinal number. It is proved that there exists a monoid M with factorization depth τ(M) = α and the monoid ring R[M]; over any skew field R is a left fir. Furthermore a method for constructing all monoids M such that R[M] is a left fir is given. {\textcopyright} 1994 Academic Press, Inc.",

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AB - Let α be an ordinal number. It is proved that there exists a monoid M with factorization depth τ(M) = α and the monoid ring R[M]; over any skew field R is a left fir. Furthermore a method for constructing all monoids M such that R[M] is a left fir is given. © 1994 Academic Press, Inc.

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