Results 61 to 70 of about 6,421 (176)
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
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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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BAREKENG: Jurnal Ilmu Matematika dan Terapan, 2011 Dalam aljabar, semiring merupakan suatu struktur yang serupa dengan ring, tetapi tanpa syarat bahwa setiap elemen harus memiliki invers terhadap operasi penjumlahan. Jika pada ring, R, adalah grup komutatif atau grup abelian maka pada semiring, S, hanya membentuk monoid komutatif, yang berarti setiap elemennya tidak perlu memiliki invers terhadap ...
Elvinus R. Persulessy, Susan R. Lisapaly
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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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From Words to Wood: Text‐to‐Procedurally Generated Wood Materials
Computer Graphics Forum, Volume 44, Issue 2, May 2025.Abstract In the domain of wood modeling, we present a new complex appearance model, coupled with a user‐friendly NLP‐based frontend for intuitive interactivity. First, we present a procedurally generated wood model that is capable of accurately simulating intricate wood characteristics, including growth rings, vessels/pores, rays, knots, and figure ...
Mohcen Hafidi, Alexander Wilkie
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Polynomially representable semirings
Demonstratio Mathematica, 2011 AbstractWe characterize semirings which can be represented by an algebra of binary polynomials of the ...
Chajda, I., Eigenthaler, G.
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New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
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Derivations in some Finite Endomorphism Semirings
, 2012 The goal of this paper is to provide some basic structure information on derivations in finite semirings.Comment: 18 ...
Trendafilov, Ivan
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