Results 71 to 80 of about 9,185 (173)
On semigroups admitting ring structure [PDF]
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Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
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Semigroup Rings and Semilattice Sums of Rings [PDF]
A generalization of the concept of a decomposition of a ring into a direct sum of ideals is introduced. The question of semisimplicity of the ring in terms of the semisimplicity of its summands is investigated. The results are applied to semigroup rings.
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Finite models for positive combinatorial and exponential algebra
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 type sequences and Arf rings
In this article in Section~2 we give an explicit description to compute the type sequence $mathrm{t}_1,ldots,mathrm{t}_{n}$ of a semigroup $Gamma$ generated by an arithmetic sequence (see 2.7); we show that the $i$-th term $mathrm{t}_i$ is equal to $1 ...
Dilip Premchand Patil, Grazia Tamone
doaj
Ring and Semigroup Constructions
In this paper we present a survey on some ring constructions, recently introduced and studied, and we show how to produce some analogous semigroup constructions. Moreover, we describe how to translate at semigroup level some ring properties of these constructions; in particular, we will focus on the Gorenstein property and to its semigroup counterpart,
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Growth problems in diagram categories
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
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Semigroup models for biochemical reaction networks. [PDF]
Loutchko D.
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SEMIGROUP RINGS AS H-DOMAINS [PDF]
Summary: Let \(D\) be an integral domain, \(S\) be a torsion-free grading monoid such that the quotient group of \(S\) is of type \((0, 0, 0, \dots)\), and \(D[S]\) be the semigroup ring of \(S\) over \(D\). We show that \(D[S]\) is an H-domain if and only if \(D\) is an H-domain and each maximal \(t\)-ideal of \(S\) is a \(v\)-ideal. We also show that
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A linear-time algorithm that avoids inverses and computes Jackknife (leave-one-out) products like convolutions or other operators in commutative semigroups. [PDF]
Spouge JL, Ziegelbauer JM, Gonzalez M.
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