Irreducible Unipotent Numerical Monoids
Mahir Bilen Can, Naufil Sakran
TL;DR
This paper advances the understanding of unipotent numerical monoids by developing new tools, including a theory of ideals, to analyze their structure and properties within the context of algebraic groups.
Contribution
It introduces a novel theory of ideals for unipotent numerical monoids, expanding the analytical framework for these algebraic structures.
Findings
Development of a theory of ideals for unipotent numerical monoids
Enhanced tools for analyzing complement-finite submonoids
Extension of previous work on unipotent algebraic groups
Abstract
In our earlier article~\cite{CanSakran} we initiated a study of the complement-finite submonoids of the group of integer points of a unipotent linear algebraic group. In the present article, we continue to develop tools and techniques for analyzing our monoids. In particular, we initiate a theory of ideals for unipotent numerical monoids.
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Taxonomy
TopicsPolynomial and algebraic computation · Rings, Modules, and Algebras · Commutative Algebra and Its Applications