Title of article
IRREDUCIBILITY OF CERTAIN BINOMIALS IN SEMIGROUP RINGS FOR NONNEGATIVE RATIONAL MONOIDS
Author/Authors
Christensen, Katie Department of Mathematics - University of Louisville, USA , Gipson, Ryan Department of Mathematics - University of Louisville, USA , Kulosman, Hamid Department of Mathematics - University of Louisville, USA
Pages
12
From page
50
To page
61
Abstract
We extend a lemma by Matsuda about the irreducibility of the
binomial Xπ − 1 in the semigroup ring F[X; G], where F is a field, G is an
abelian torsion-free group and π is an element of G of height (0, 0, 0, . . . ).
In our extension, G is replaced by any submonoid of (Q+, +). The field F,
however, has to be of characteristic 0. We give an application of our main
result.
Keywords
Semigroup ring , atomic domain , AP domain , irreducible element , prime element
Journal title
International Electronic Journal of Algebra
Serial Year
2018
Full Text URL
Record number
2600034
Link To Document