Results 41 to 50 of about 8,458 (195)
Galois Connections between Semimodules and Applications in Data Mining [PDF]
, 2007 In [1] a generalisation of Formal Concept Analysis was introduced with data mining applications in mind, K-Formal Concept Analysis, where incidences take values in certain kinds of semirings, instead of the standard Boolean carrier set.
Peláez Moreno, Carmen +1 more
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Residuated Structures Derived from Commutative Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2019 Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
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Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2022 Abstract In this paper, we introduce and study the concept of strongly clean semiring. Let S be a semiring. An element a ∈ S is called strongly clean if a = e+u with e an idempotent in S and u a unit in S such that eu = ue. A semiring S is said to be strongly clean if every nonzero element of S is strongly clean.
D. Das, S. Kar
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Every simple compact semiring is finite
, 2015 A Hausdorff topological semiring is called simple if every non-zero continuous homomorphism into another Hausdorff topological semiring is injective. Classical work by Anzai and Kaplansky implies that any simple compact ring is finite. We generalize this
Schneider, Friedrich Martin +1 more
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Metrization of idempotent semiring of topological rings
Applied General TopologyIn this paper, we have introduced natural H+ - pseudovaluation and H+ -norm on a completely regular semiring making it a topological completely regular (algebraic) semiring and established some necessary and sufficient conditions of metrizability of a ...
Sunil Kumar Maity, Gopal Adak
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, 2013 We introduce and study an abstract class of semirings, which we call exact semirings, defined by a Hahn-Banach-type separation property on modules.
Butkovič +15 more
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Ideal basis in constructions defined by directed graphs
Electronic Journal of Graph Theory and Applications, 2015 The present article continues the investigation of visible ideal bases in constructions defined using directed graphs. This notion is motivated by its applications for the design of classication systems.
Jemal Abawajy, Andrei Kelarev, Joe Ryan
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Communications in Algebra, 2020 We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We extend several characterizations of semisimple rings to (not necessarily subtractive) commutative semirings.
Abuhlail, Jawad Y. +1 more
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Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we study the properties of structures of the semigroup (M,+) and the Γ-semigroup M of Γ -semiring M and regular Γ-semiring M satisfying the identity a + aαb = a or aαb + a = a or a + aαb + b = a or a + 1 = 1, for all a ∈ M, α ∈ Γ.
Rao Marapureddy Murali Krishna
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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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