Results 71 to 80 of about 14,642 (224)
, 2015 We study connections between closure operators on an algebra $(A,\Om)$ and congruences on the extended power algebra defined on the same algebra.
Pilitowska, Agata +1 more
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Completions for partially ordered semigroups [PDF]
Semigroup Forum, 1986 A standard completion Y is a function which assigns to each poset P a system YP of lower ends of P such that (i) YP contains all principal lower ends of P and (ii) YP is closed under arbitrary set intersection. A detailed study of such completions in its natural categorical setting has been published recently by the first-named author [Quaest. Math. 9,
Erné, M., Reichman, J.Z.
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Finite models for positive combinatorial and exponential algebra
Bulletin of the London Mathematical Society, EarlyView.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
wiley +1 more source
Idempotent 2x2 matrices over linearly ordered abelian groups [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper we study multiplicative semigroups of $2\times 2$ matrices over a linearly ordered abelian group with an externally added bottom element. The multiplication of such a semigroup is defined by replacing addition and multiplication by join and
Valdis Laan, Marilyn Kutti
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M\"obius function of semigroup posets through Hilbert series
, 2015 In this paper, we investigate the M{\"o}bius function $\mu\_{\mathcal{S}}$ associated to a (locally finite) poset arising from a semigroup $\mathcal{S}$ of $\mathbb{Z}^m$. We introduce and develop a new approach to study $\mu\_{\mathcal{S}}$ by using the
Alfonsín, Jorge Luis Ramírez +3 more
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From ordered semigroups to ordered hypersemigroups [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2019 We wrote this paper as an example to show the way we pass from ordered semigroups to ordered hypersemigroups.
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Growth problems in diagram categories
Bulletin of the London Mathematical Society, EarlyView.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
wiley +1 more source
Left-m-filter, Right-n-filter and (m,n)-filter on Ordered Semigroup
Journal of Taibah University for Science, 2019 In this paper, as a generalization of the concepts of left filters, right filters and filters of ordered semigroups, the concepts, for any positive integers m and n, of left-m-filters, right-n-filters and $ (m,n) $ -filters in ordered semigroups have ...
Noor Mohammad Khan, Ahsan Mahboob
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Is every product system concrete?
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
Classification of Ordered Semigroups in Terms of Generalized Interval-Valued Fuzzy Interior Ideals
Journal of Intelligent Systems, 2016 Several applied fields dealing with decision-making process may not be successfully modeled by ordinary fuzzy sets. In such a situation, the interval-valued fuzzy set theory is more applicable than the fuzzy set theory.
Khan Hidayat Ullah +3 more
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