CONSTRUCTION OF LEFT FIR MONOID RINGS

[摘要] Let alpha be an ordinal number. It is proved that there exists a monoid M with factorization depth tau(M) = alpha 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. (C) 1994 Academic Press, Inc.

[发布日期] 1994-05-01