Results 11 to 20 of about 3,136 (224)
Barekeng, 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, 
Susan R. Lisapaly, Elvinus R. Persulessy
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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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On Γ-Semiring With Identity [PDF]
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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Metrization of idempotent semiring of topological rings [PDF]
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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On anti-commutative semirings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 An anticommutative semiring is completely characterized by the types of multiplications that are permitted. It is shown that a semiring is anticommutative if and only if it is a product of two semirings R1 and R2 such that R1 is left multiplicative and ...
J. S. Ratti, Y. F. Lin
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Analysis of the Wiener Index of Rough Annihilator Graph Over Rough Semirings
Journal of MathematicsAn effective analytical and visual tool for comprehending the annihilator relationships inside a rough semiring is its annihilator graph. This paper introduces and investigates rough annihilator graph, denoted RAGT, of the commutative rough semiring T ...
Sudha B., Praba B.
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On simpleness of semirings and complete semirings [PDF]
Journal of Algebra and Its Applications, 2014 In this paper, we investigate various classes of semirings and complete semirings regarding the property of being ideal-simple, congruence-simple, or both. Among other results, we describe (complete) simple, i.e. simultaneously ideal- and congruence-simple, endomorphism semirings of (complete) idempotent commutative monoids; we show that the concepts ...
Katsov, Yefim +2 more
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Siberian Mathematical Journal, 2023 Abstract We prove that each element of a complete atomic $ l $ -semiring has a canonical decomposition. We also find some sufficient conditions for the decomposition to be unique that are expressed by first-order sentences.
Ts. Ch.-D. Batueva, M. V. Schwidefsky
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On quasi-prime differential semiring ideals
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
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Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring
Fuzzy Information and Engineering, 2015 In this paper, we establish that the Lasker–Noether theorem for a commutative ring may be generalized for a commutative semiring. We produce an example of an ideal in a Noetherian semiring which cannot be expressed as finite intersection of primary ...
S. Kar, S. Purkait, B. Davvaz
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