Results 11 to 20 of about 1,934 (215)
Finite Commutative Chain Rings
Finite Fields and Their Applications, 2001 A commutative ring with unit is called a chain ring if all its ideals form a chain under inclusion. All finite chain rings can be obtained in the following way: Let \(p\) be a prime, \(n,r>0\), \(f\in \mathbb{Z}_{p^n}[X]\) a monic polynomial, \(\deg(f)=r\) whose image in \(\mathbb{Z}_p[X]\) is irreducible and let \(\text{GR} (p^n,r): =\mathbb{Z}_{p^n ...
Hou, Xiang-dong, Xiang-dong Hou
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Polynomial orbits in finite commutative rings [PDF]
Czechoslovak Mathematical Journal, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Konečná, Petra
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On the finite separability of finitely generated commutative rings
, 2023 18 pages, in Russian ...
Kublanovsky, Stanislav
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On commuting probabilities in finite groups and rings
Journal of Algebra Combinatorics Discrete Structures and Applications, 2022 We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class $\le2$. We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements.
JURAS, Martin, URSUL, Mihail
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The Mathematical Safe Problem and Its Solution (Part 2)
Кібернетика та комп'ютерні технології, 2021 Introduction. The problem of mathematical safe arises in the theory of computer games and cryptographic applications. The article considers numerous variations of the mathematical safe problem and examples of its solution using systems of linear ...
Sergii Kryvyi, Hryhorii Hoherchak
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On generalized probability in finite commutative rings
International Electronic Journal of Algebra, 2023 Let $R$ be a finite commutative ring with unity and $x\in R$. We study the probability that the product of two randomly chosen elements (with replacement) of $R$ equals $x$. We denote this probability by $Prob_x (R)$. We determine some bounds for this probability and also obtain some characterizations of finite commutative rings based on this ...
REHMAN, Shafiq Ur +1 more
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Some Examples of BL-Algebras Using Commutative Rings
Mathematics, 2022 BL-algebras are algebraic structures corresponding to Hajek’s basic fuzzy logic. The aim of this paper is to analyze the structure of BL-algebras using commutative rings. Due to computational considerations, we are interested in the finite case.
Cristina Flaut, Dana Piciu
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Enumeration of Neutrosophic Involutions over Finite Commutative Neutrosophic Rings [PDF]
Neutrosophic Sets and Systems, 2023 A finite commutative ring involution is the multiplicative inverse of the element attribute R is the element itself. This classical characteristic of a finite commutative ring makes Neutrosophic involutions possible, which are counted, listed and ...
T. Chalapathi +2 more
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Planar, Outerplanar, and Toroidal Graphs of the Generalized Zero-Divisor Graph of Commutative Rings
Journal of Mathematics, 2021 Let A be a commutative ring with unity and let set of all zero divisors of A be denoted by ZA. An ideal ℐ of the ring A is said to be essential if it has a nonzero intersection with every nonzero ideal of A. It is denoted by ℐ≤eA.
Abdulaziz M. Alanazi +2 more
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Finite rings in which commutativity is transitive [PDF]
Monatshefte für Mathematik, 2009 Let \(R\) denote a ring with Jacobson radical \(J(R)\) and center \(Z(R)\). Define \(R\) to be commutative transitive (CT) if commutativity is a transitive relation on \(R\setminus\{0\}\) and weakly commutative transitive (wCT) if commutativity is transitive on \(R\setminus Z(R)\).
Dolžan, David +2 more
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