Primely generated refinement monoids
P. Ara, E. Pardo
TL;DR
This paper extends existing characterizations of primely generated regular refinement monoids and primitive monoids to a broader class of primely generated refinement monoids, enhancing the theoretical understanding of their structure.
Contribution
It generalizes previous characterizations to encompass all primely generated refinement monoids, broadening the scope of their structural analysis.
Findings
Extended Dobbertin's characterization to general cases
Extended Pierce's characterization to broader class
Provided new insights into the structure of primely generated refinement monoids
Abstract
We extend both Dobbertin's characterization of primely generated regular refinement monoids and Pierce's characterization of primitive monoids to general primely generated refinement monoids.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Geometric and Algebraic Topology