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 |
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Pages (from-to) | 645-660 |
Journal | Journal of Algebra |
Volume | 165 |
DOIs | |
Publication status | Published - 1 May 1994 |