7 citations · 20 across the 15 of their papers we have counts for
11 papers · 1 filter
Supertropical Monoids III: Factorization and splitting covers
Zur Izhakian, Manfred Knebusch
The category of supertropical monoids, whose morphisms are transmissions, has the full--reflective subcategory of commutative semirings. In this setup, quotients…
Archimedean classes in additive monoids
Zur Izhakian, Manfred Knebusch
Summand absorbing submodules are common in modules over (additively) idempotent semirings, for example, in tropical algebra. A submodule of is summand absorbing, if $x + y…
Supertropical Monoids II: Lifts, Transmissions, and Equalizers
Zur Izhakian, Manfred Knebusch
The category of commutative semirings, whose morphisms are transmissions, is a full and reflective subcategory of the category of su…
Dual Spaces and Bilinear Forms in Supertropical Linear Algebra
Zur Izhakian, Manfred Knebusch, Louis Rowen
Continuing [5], this paper investigates finer points of supertropical vector spaces, including dual bases and bilinear forms, with supertropical versions of standard classical resu…
Supertropical Monoids: Basics, Canonical Factorization, and Lifting Ghosts to Tangibles
Zur Izhakian, Manfred Knebusch, Louis Rowen
Supertropical monoids are a structure slightly more general than the supertropical semirings, which have been introduced and used by the first and the third authors for refinements…
Monoid Valuations and Value Ordered Supervaluations
Zur Izhakian, Manfred Knebusch, Louis Rowen
We complement two papers on supertropical valuation theory ([IKR1],[IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and tr…