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math.RT2026
Homogeneous Weights on Semigroup Algebras of Finite Commutative Semigroups
M. H. Shahzamanian
The determinant of a finite semigroup is closely related to the Frobenius property of its corresponding semigroup algebra, and it plays a significant role in coding theory applicat…
math.RT2026
Simplicity of Augmentation Submodules in Monoids with 0-Minimal Ideals of Rank Greater than Two
M. H. Shahzamanian
In this paper, we construct explicit families of transformation monoids whose augmentation submodules are simple and whose associated 0-minimal J-classes have rank greater than two…
math.RT2020
The quiver of an affine monoid
M. H. Shahzamanian, Benjamin Steinberg
If is a finite commutative ring, then the affine monoid of is the monoid of all affine mappings on . Alternatively, it is the semidirect product of the m…