Results 31 to 40 of about 295 (56)
Algebraic structures of tropical mathematics
, 2013 Tropical mathematics often is defined over an ordered cancellative monoid $\tM$, usually taken to be $(\RR, +)$ or $(\QQ, +)$. Although a rich theory has arisen from this viewpoint, cf.
Izhakian, Zur +2 more
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On the dimension of polynomial semirings [PDF]
, 2015 In our previous work, motivated by the study of tropical polynomials, a definition for prime congruences was given for an arbitrary commutative semiring.
Joó, Dániel, Mincheva, Kalina
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Minimal half-spaces and external representation of tropical polyhedra
, 2011 We give a characterization of the minimal tropical half-spaces containing a given tropical polyhedron, from which we derive a counter example showing that the number of such minimal half-spaces can be infinite, contradicting some statements which ...
E. Gawrilow +31 more
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj +1 more source
Eisenstein's Irreducibility Criterion for Polynomials over Semirings
, 2018 In this short note, we generalize Eisenstein's irreducibility criterion for semirings.Comment: A small typo ...
Nasehpour, Peyman
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Diameters of commuting graphs of matrices over semirings
, 2010 We calculate the diameters of commuting graphs of matrices over the binary Boolean semiring, the tropical semiring and an arbitrary nonentire commutative semiring.
Bukovšek, Damjana Kokol +2 more
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Semirings which have linearly ordered prime ideals
, 2019 As a generalization of valuation semirings, the main purpose of this paper is to investigate those semirings that their prime ideals are totally ordered by inclusion.
Behzadipour, H., Nasehpour, P.
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Factorization invariants of Puiseux monoids generated by geometric sequences
Communications in Algebra, 2020Scott T Chapman +2 more
exaly
Length-factoriality and pure irreducibility
Communications in Algebra, 2023Joseph Vulakh, Alex Zhao
exaly