Fragile Phases as Affine Monoids: Classification and Material Examples
نویسندگان
چکیده
منابع مشابه
Affine Algebraic Monoids as Endomorphisms’ Monoids of Finite-dimensional Algebras
We prove that any affine algebraic monoid can be obtained as the endomorphisms’ monoid of a finite-dimensional (nonassociative) algebra.
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Let A be a ring with identity. The generalized affine transformation monoid Gaff(A) is defined as the set of all transformations on A of the form x → xu + a (for all x ∈ A), where u,a∈ A. We study the algebraic structure of the monoid Gaff(A) on a finite Galois ring A. The following results are obtained: an explicit description of Green’s relations on Gaff(A); and an explicit description of the...
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ژورنال
عنوان ژورنال: Physical Review X
سال: 2020
ISSN: 2160-3308
DOI: 10.1103/physrevx.10.031001