Affine semigroups of maximal projective dimension
Om Prakash Bhardwaj, Kriti Goel, Indranath Sengupta
TL;DR
This paper extends concepts from symmetric and pseudo symmetric semigroups to the broader class of MPD semigroups, exploring their structure and properties.
Contribution
It introduces a generalization of key semigroup notions to MPD semigroups, expanding the theoretical framework.
Findings
Generalization of symmetric semigroups to MPD semigroups
Development of pseudo symmetric semigroup concepts for MPD semigroups
New insights into the structure of MPD semigroups
Abstract
We generalize the notion of symmetric semigroups, pseudo symmetric semigroups, and row factorization matrices for pseudo Frobenius elements of numerical semigroups to the case of semigroups with maximal projective dimension (MPD semigroups).
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Taxonomy
TopicsCommutative Algebra and Its Applications · Graph theory and applications · Rings, Modules, and Algebras