Results 51 to 60 of about 8,382 (175)
Finite models for positive combinatorial and exponential algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3380-3400, November 2025.Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
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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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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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CLIFFORD SEMIRINGS AND GENERALIZED CLIFFORD SEMIRINGS
Taiwanese Journal of Mathematics, 2005 It is well known that a semigroup $S$ is a Clifford semigroup if and only if $S$ is a strong semilattice of groups. In this paper, we extend this important result from semigroups to semirings by showing that a semiring $S$ is a Clifford semiring if and only if $S$ is a strong distributive lattice of skew-rings.
Sen, M. K., Maity, S. K., Shum, K. P.
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Moments, sums of squares, and tropicalization
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source
Geometric realizations of the s‐weak order and its lattice quotients
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
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On Weakly 1-Absorbing Primary Ideals of Commutative Semirings
Communications in Advanced Mathematical Sciences, 2022 Let $R$ be a commutative semiring with $ 1 \neq0$. In this paper, we study the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing ideal over commutative semirings . A proper ideal $I$ of a semiring $R$ is called a weakly
Ibaa Muraa, Mohammad Saleh
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Homotopical commutative rings and bispans
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We prove that commutative semirings in a cartesian closed presentable ∞$\infty$‐category, as defined by Groth, Gepner, and Nikolaus, are equivalent to product‐preserving functors from the (2,1)‐category of bispans of finite sets. In other words, we identify the latter as the Lawvere theory for commutative semirings in the ∞$\infty$‐categorical
Bastiaan Cnossen +3 more
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Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring
Ibn Al-Haitham Journal for Pure and Applied SciencesThe summary purpose of this work: We extending certain results on α-centralizer of inverse semiring under specific conditions, achieve new results on lie ideal of inverse semiring with some consequent collieries, generalize assorted α-centralizer ...
Ali JA. Abass +3 more
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, 2017 In this paper, we provide a complete description of congruence-semisimple semirings and introduce the pre-ordered abelian Grothendieck groups $K_0(S)$ and $SK_0(S)$ of the isomorphism classes of the finitely generated projective and strongly projective S-
Katsov, Yefim +2 more
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