Results 21 to 30 of about 904 (238)
A commutativity‐or‐finiteness condition for rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We show that a ring with only finitely many noncentral subrings must be either commutative or finite.
Abraham A. Klein, Howard E. Bell
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Determinants of some special matrices over commutative finite chain rings
Special Matrices, 2020 Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
doaj +1 more source
Finitely Embedded Commutative Rings [PDF]
Proceedings of the American Mathematical Society, 1991 A theorem of Ginn and Moss [G-M] states that a right finitely embedded (= with finite essential right socle) two-sided Noetherian ring is Artinian. An example of Schelter and Small [S-S] can be applied to show that the theorem fails for right finitely embedded rings with the ascending chain conditions on right and left annihilators.
openaire +1 more source
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
doaj +1 more source
The matrix Jacobson graph of finite commutative rings
Electronic Journal of Graph Theory and Applications, 2022 The notion of the matrix Jacobson graph was introduced in 2019. Let R be a commutative ring and J(R) be the Jacobson radical of ring R. The matrix Jacobson graph of ring R size m × n, denoted 𝔍(R)m × n, is defined as a graph where the vertex set is Rm ...
Siti Humaira +3 more
doaj +1 more source
Definability of linear equation systems over groups and rings [PDF]
Logical Methods in Computer Science, 2013 Motivated by the quest for a logic for PTIME and recent insights that the descriptive complexity of problems from linear algebra is a crucial aspect of this problem, we study the solvability of linear equation systems over finite groups and rings from ...
Anuj Dawar +4 more
doaj +1 more source
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
openaire +2 more sources
Polynomial orbits in finite commutative rings [PDF]
Czechoslovak Mathematical Journal, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source