Mathematical Journal of Ibaraki University
Online ISSN : 1883-4353
Print ISSN : 1343-3636
ISSN-L : 1343-3636
Note on star operations on monoids
Ryûki Matsuda
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2019 Volume 51 Pages 13-25

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Abstract

A subsemigroup of a torsion-free abelian group is called grading monoid. This is a note on star operations in ideal theory of grading monoids. Explicitly, we study stability, ascents-descents, and Kronecker function rings of semistar operations on grading monoids.

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© 2019 Department of Mathematics, Faculty of Science, Ibaraki University
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