Factorizations in upper triangular matrices over information semialgebras

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

zbMATH Keywords

factorizationsupper triangular matricesatomicityACCPBFMHFMFFMinformation semialgebrasPuiseux semirings

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic of semigroup semirings.
• Factorization theory: from commutative to noncommutative settings.
• Atomicity and boundedness of monotone Puiseux monoids
• Factorization in integral domains
• Factorizations of matrices over semirings.
• Increasing positive monoids of ordered fields are FF-monoids
• Puiseux monoids and transfer homomorphisms
• Upper triangular matrices over information algebras
• On strongly primary monoids, with a focus on Puiseux monoids
• On the atomicity of monoid algebras
• Factorizations of polynomials with integral non-negative coefficients
• Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic.
• Sets of lengths in maximal orders in central simple algebras.
• Factorizations of upper triangular matrices
• On some classes of polynomials with nonnegative coefficients and a given factor
• Elasticity of factorization in number fields
• On noncommutative finite factorization domains
• Factorization invariants of Puiseux monoids generated by geometric sequences
• On upper triangular nonnegative matrices
• On the atomic structure of Puiseux monoids

This page was built for publication: Factorizations in upper triangular matrices over information semialgebras