Results 11 to 20 of about 8,458 (195)
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.
doaj +2 more sources
The Ideal Over Semiring of the Non-Negative Integer
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Assumed that (S,+,.) is a semiring. Semiring is a algebra structure as a generalization of a ring. A set I⊆S is called an ideal over semiring S if for any α,β∈I, we have α-β∈I and sα=αs∈I for every s in semiring S.
Aisyah Nur Adillah +3 more
doaj +1 more source
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
openaire +2 more sources
The Triple-Pair Construction for Weighted ω-Pushdown Automata [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Let S be a complete star-omega semiring and Sigma be an alphabet. For a weighted omega-pushdown automaton P with stateset 1...n, n greater or equal to 1, we show that there exists a mixed algebraic system over a complete semiring-semimodule pair ((S ...
Manfred Droste +2 more
doaj +1 more source
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
doaj +1 more source
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
openaire +4 more sources
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
openaire +2 more sources
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
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source