Title of article
Atomic and AP semigroup rings F [ X ; M ] F[X;M], where M M is a submonoid of the additive monoid of nonnegative rational numbers
Author/Authors
Gipson, Ryan Department of Mathematics - University of Louisville South, USA , Kulosman, Hamid Department of Mathematics - University of Louisville South, USA
Pages
128
From page
19
To page
146
Abstract
We investigate the atomicity and the AP property of the semigroup rings F[X; M], where F is a field, X is a variable and M is a submonoid
of the additive monoid of nonnegative rational numbers. The main notion
that we introduce for the purpose of the investigation is the notion of essential
generators of M.
Keywords
Semigroup ring , atomic domain
Journal title
International Electronic Journal of Algebra
Serial Year
2017
Full Text URL
Record number
2600615
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