Results 11 to 20 of about 8,382 (175)
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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Discrete Mathematics, 2019 We study the number of connected graphs with $n$ vertices that cannot be written as the cartesian product of two graphs with fewer vertices. We give an upper bound which implies that for large $n$ almost all graphs are both connected and cartesian prime.
Aldi, Marco
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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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APOE ε4 is associated with earlier symptom onset in LOAD but later symptom onset in EOAD. [PDF]
Alzheimers Dement, 2023 Abstract Background We studied the effect of apolipoprotein E (APOE) ε4 status and sex on age of symptom onset (AO) in early‐ (EO) and late‐ (LO) onset Alzheimer's disease (AD). Method A total of 998 EOAD and 2562 LOAD participants from the National Alzheimer's Coordinating Center (NACC) were included.
Polsinelli AJ +5 more
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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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Multiplicatively idempotent semirings [PDF]
Mathematica Bohemica, 2015 Let \((S,+,\cdot)\) be an additively commutative semiring with absorbing zero \(0\) and identity \(1\). It is shown that \((S,\cdot)\) is idempotent if and only if there exist positive integers \(n\) and \(m\geq 2\) such that \(x^{n+1}=x^n\) and \(x^m=x\) for all \(x\in S\).
Chajda, Ivan +2 more
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On differentially prime ideals of Noetherian semirings
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
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BRICS Report Series, 2000 One of the most well-known induction principles in computer science<br />is the fixed point induction rule, or least pre-fixed point rule. Inductive <br />*-semirings are partially ordered semirings equipped with a star operation<br />satisfying the fixed point equation and the fixed point induction rule for<br />linear terms ...
Ésik, Zoltán, Kuich, Werner
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Siberian Mathematical Journal, 2023 AbstractWe 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. As a corollary, we obtain a theorem of Avgustinovich–Frid which claims that each factorial language has the unique canonical ...
Ts. Ch.-D. Batueva, M. V. Schwidefsky
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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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