Generation of summand absorbing submodules

DOI10.1142/S0219498821502017zbMath1485.14117OpenAlexW3037341718MaRDI QIDQ5163435

Manfred Knebusch, Zur Izhakian, Louis Halle Rowen

Publication date: 4 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821502017

zbMATH Keywords

semigroupmatricesdirect sum decompositionsemiringhalolacking zero sumsadditive spinefree (semi)modulesummand absorbing submoduletropical space

Mathematics Subject Classification ID

Combinatorial aspects of tropical varieties (14T15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Semirings (16Y60) Ordered semigroups and monoids (06F05) Ordered rings, algebras, modules (06F25) Foundations of tropical geometry and relations with algebra (14T10)

Related Items (1)

Amalgamation and extensions of summand absorbing modules over a semiring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pure dimension and projectivity of tropical polytopes
• Local tropical linear spaces
• Tropical linear spaces and tropical convexity
• Semigroup identities in the monoid of two-by-two tropical matrices.
• Inversion of matrices over a commutative semiring
• Decompositions of modules lacking zero sums
• Tropical plactic algebra, the cloaktic monoid, and semigroup representations
• Summand absorbing submodules of a module over a semiring
• Tropical totally positive matrices
• Supertropical algebra
• Matrix Analysis
• Toric Singularities
• Supertropical SL_n
• On decompositions of a commutative semigroup
• Totally positive matrices
• On circuit valuation of matroids

This page was built for publication: Generation of summand absorbing submodules