Factorizations in upper triangular matrices over information semialgebras
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Publication:2197570
DOI10.1016/j.jalgebra.2020.06.031zbMath1464.16044arXiv2002.09828OpenAlexW3042683714MaRDI QIDQ2197570
Felix Gotti, Nicholas R. Baeth
Publication date: 1 September 2020
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09828
factorizationsupper triangular matricesatomicityACCPBFMHFMFFMinformation semialgebrasPuiseux semirings
Factorization of matrices (15A23) Endomorphism rings; matrix rings (16S50) Semirings (16Y60) Arithmetic theory of semigroups (20M13) Algebraic monoids (20M32)
Related Items (19)
Factorization invariants of the additive structure of exponential Puiseux semirings ⋮ Semigroups of non-negative integer-valued matrices ⋮ On the additive structure of algebraic valuations of polynomial semirings ⋮ Factorizations in evaluation monoids of Laurent semirings ⋮ Length-factoriality in commutative monoids and integral domains ⋮ On the primality and elasticity of algebraic valuations of cyclic free semirings ⋮ Arithmetic of additively reduced monoid semidomains ⋮ On the arithmetic of polynomial semidomains ⋮ On the atomic structure of torsion-free monoids ⋮ Factorization in additive monoids of evaluation polynomial semirings ⋮ Length-factoriality and pure irreducibility ⋮ On the Subatomicity of Polynomial Semidomains ⋮ Flat extensions of groups and limit varieties of additively idempotent semirings ⋮ On the atomic structure of exponential Puiseux monoids and semirings ⋮ Bi-atomic classes of positive semirings ⋮ On the set of molecules of numerical and Puiseux monoids ⋮ Atomicity and density of Puiseux monoids ⋮ On semigroup algebras with rational exponents ⋮ Finite factorization properties in commutative monoid rings with zero divisors
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