Mathematics – Commutative Algebra
Scientific paper
2010-02-09
Mathematics
Commutative Algebra
5 pages
Scientific paper
Let $M$ be an $R$-module and $S$ a semigroup. Our goal is to discuss
zero-divisors of the semigroup module $M[S]$. Particularly we show that if $M$
is an $R$-module and $S$ a commutative, cancellative and torsion-free monoid,
then the $R[S]$-module $M[S]$ has few zero-divisors of degree $n$ if and only
if the $R$-module $M$ has few zero-divisors of degree $n$ and Property (A).
No associations
LandOfFree
Zero-divisors of semigroup modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Zero-divisors of semigroup modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero-divisors of semigroup modules will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-124735