Classification of almost symmetric numerical semigroups with maximal reduced type
Akihiro Sugawara
TL;DR
This paper provides a complete classification of almost symmetric numerical semigroups with maximal reduced type and also classifies MED-semigroups with the same property.
Contribution
It offers the first comprehensive classification of these semigroups with maximal reduced type, expanding understanding in algebraic semigroup theory.
Findings
Complete classification of almost symmetric numerical semigroups with maximal reduced type
Classification of MED-semigroups with maximal reduced type
Advances in understanding the structure of these semigroups
Abstract
This paper determines almost symmetric numerical semigroups with maximal reduced type completely. In addition, this paper classifies MED-semigroups with maximal reduced type.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Rings, Modules, and Algebras