Results 51 to 60 of about 432 (182)
LEVEL SOFT SEMIRING FROM FUZZY SUBSEMIRING
BarekengThis paper introduces the concept of a level soft set and a level soft semiring over a semiring derived from a fuzzy subsemiring. By employing the level subset approach of fuzzy sets, we construct soft structures whose images form subsemirings of the ...
Saman Abdurrahman, Thresye Thresye
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(f, g)-derivation of ordered Γ-semirings [PDF]
Mathematica Moravica, 2018 In this paper, we introduce the concept of (f, g)-derivation, which is a generalization of f- derivation and derivation of ordered Γ-semiring and study some properties of (f, g)-derivation of ordered Γ-semirings.
Krishna Rao Marapureddy Murali +3 more
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The Total Graph of a Commutative Semiring
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We introduce and investigate the total graph of a commutative semiring with non-zero identity. The main purpose of this paper is to extend the definition and some results given in [2] to a more general semiring case.
Atani Shahabaddin Ebrahimi +1 more
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Formalized Mathematics, 2014 Summary Schmets [22] has developed a measure theory from a generalized notion of a semiring of sets. Goguadze [15] has introduced another generalized notion of semiring of sets and proved that all known properties that semiring have according to the old definitions are preserved. We show that this two notions are almost equivalent. We
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Journal of Algebra and Its Applications, 2018 The main scope of this paper is to introduce the valuation semirings in general and discrete valuation semirings in particular. In order to do that, first, we define valuation maps and investigate them. Then we define valuation semirings with the help of valuation maps and prove that a multiplicatively cancellative semiring is a valuation semiring if ...
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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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Synchronizing weighted automata [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We introduce two generalizations of synchronizability to automata with transitions weighted in an arbitrary semiring K=(K,+,*,0,1). (or equivalently, to finite sets of matrices in K^nxn.) Let us call a matrix A location-synchronizing if there exists a ...
Szabolcs Iván
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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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z-ideals in the Semiring ℛ^+(L_τ)
Scientific Annals of Computer ScienceLet ℛ^+(L_τ) denote the nonnegative τ-real-continuous function on a topoframe L_τ. We introduce the notion of z-ideals and maximal ideals in the semiring ℛ^+(L_τ) and state some results about them. Also, we show that the topoframe L_τ is a P-topoframe if
Ali Akbar Estaji, Toktam Haghdadi
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Fuzzy Information and Engineering, 2016 In this paper, we introduce the notion of soft ternary semiring by using the concept of soft set theory. Besides, we characterize the notions of regularity and intra-regularity in soft ternary semiring by using different soft (left, lateral, right, quasi,
S. Kar, A. Shikari
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