Results 21 to 30 of about 87,285 (205)
On the Unit Graph of a Noncommutative Ring [PDF]
, 2012 Let $R$ be a ring (not necessary commutative) with non-zero identity. The unit graph of $R$, denoted by $G(R)$, is a graph with elements of $R$ as its vertices and two distinct vertices $a$ and $b$ are adjacent if and only if $a+b$ is a unit element of ...
Akbari, S., Estaji, E., Khorsandi, M. R.
core +1 more source
Characterization of fuzzy neighborhood commutative division rings II
International Journal of Mathematics and Mathematical Sciences, 1995 In [4] we produced a characterization of fuzzy neighborhood commutative division rings; here we present another characterization of it in a sense that we minimize the conditions so that a fuzzy neighborhood system is compatible with the commutative ...
T. M. G. Ahsanullah, Fawzi A. Al-Thukair
doaj +1 more source
The commutative core of a Leavitt path algebra [PDF]
, 2018 For any unital commutative ring $R$ and for any graph $E$, we identify the commutative core of the Leavitt path algebra of $E$ with coefficients in $R$, which is a maximal commutative subalgebra of the Leavitt path algebra.
Canto, Cristóbal Gil +1 more
core +2 more sources
Locally Noetherian Commutative Rings [PDF]
Transactions of the American Mathematical Society, 1971 This paper centers around the theorem that a commutative ring R R is noetherian if every R P , P {R_P},P prime, is noetherian and every finitely generated ideal of R R has only finitely many weak-Bourbaki associated primes. A more
Heinzer, William, Ohm, Jack
openaire +2 more sources
Elementary reduction of matrices over Bezout ring with stable range 1 (in Ukrainian) [PDF]
Математичні Студії, 2012 We prove that a commutative Bezout ring with stable range 1 is a ring with elementary reduction of matrices and that every singular matrice over commutative Bezout ring with stable range 1 is products of idempotent matrices.
O. M. Romaniv
doaj
Generalized periodic and generalized Boolean rings
International Journal of Mathematics and Mathematical Sciences, 2001 We prove that a generalized periodic, as well as a generalized Boolean, ring is either commutative or periodic. We also prove that a generalized Boolean ring with central idempotents must be nil or commutative. We further consider conditions which imply
Howard E. Bell, Adil Yaqub
doaj +1 more source
Expansivity on commutative rings [PDF]
Topology and its Applications, 2020 In this article we extend the notion of expansivity from topological dynamics to automorphisms of commutative rings with identity. We show that a ring admits a 0-expansive automorphism if and only if it is a finite product of local rings. Generalizing a well known result of compact metric spaces, we prove that if a ring admits a positively expansive ...
Alfonso Artigue, Mariana Haim
openaire +2 more sources
Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj +1 more source
Modules with RD-composition series over a commutative ring [PDF]
, 2003 If R is a commutative ring, we prove that every finitely generated module has a pure-composition series with indecomposable factors and any two such series are isomorphic if and only if R is a Bezout ring and a CF ...
Couchot, Francois
core +4 more sources
The lambda-dimension of commutative arithmetic rings
, 2003 It is shown that every commutative arithmetic ring $R$ has $lambda$-dimension $ leq 3$. An example of a commutative Kaplansky ring with $ lambda$-dimension 3 is given. If $R$ satisfies an additional condition then $ lambda$-dim($R$
Bourbaki N. +4 more
core +3 more sources