Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Abdellah Mamouni"'
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 40 (2022)
Our aim in the present paper is to introduce new classes of endomorphisms and study their connection with commutativity of prime rings with involution of the second kind. Furthermore, we provide examples to show that the various restrictions imposed
Externí odkaz:
https://doaj.org/article/10702e7f10fa40df83db1e0593f6cedc
Publikováno v:
Proyecciones (Antofagasta). 41:623-642
The fundamental aim of this paper is to investigate the structure of a quotient ring R/P where R is an arbitrary ring and P is a prime ideal of R. More precisely, we will characterize the commutativity of R/P via the behavior of generalized derivatio
Publikováno v:
Boletim da Sociedade Paranaense de Matemática. 40:1-11
Let A be a ring and I be an ideal of A. The amalgamated duplication of A along I is the subring of A × A defined by $A\bowtie I := {(a, a + i) |a ∈ A, i ∈ I}$. In this paper, we characterize $A\bowtie I$ over which any (resp. minimal) prime ide
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2. 71:665-676
Our purpose in this paper is to show that certain elements, defined by commutativity conditions involving derivations over prime rings, are either central elements or they classified the involved derivations. Moreover, we provide examples to show tha
Publikováno v:
Communications in Algebra. 49:2976-2986
In this paper, we investigate commutativity of rings with involution provided with derivations and generalized derivations satisfying some algebraic identities. Furthermore, we provide examples to ...
Publikováno v:
São Paulo Journal of Mathematical Sciences. 14:675-688
The principal aim of this paper is to study the structure of quotient rings R/P where R is an arbitrary ring and P is a prime ideal of R. Especially, we will establish a relationship between the structure of this class of rings and the behaviour of d
Publikováno v:
Algebra Colloquium. 27:405-414
In this paper we investigate commutativity of prime rings with involution ∗ of the second kind in which endomorphisms satisfy certain algebraic identities. Furthermore, we provide examples to show that the various restrictions imposed by the hypoth
Publikováno v:
Communications in Algebra. 48:3838-3845
Let R be commutative ring with 1≠0. A proper ideal I of R is called a 1-absorbing primary ideal of R if whenever nonunit elements a,b,c∈R and abc∈I, then ab∈I or c∈I. It is proved that every primar...
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 51:187-194
In this paper, we generalize the Posner’s theorem on derivations in rings as follows: Let R be an arbitrary ring, P be a prime ideal of R, and d be a derivation of R. If [[x, d(x)], y] ∈ P for all x, y ∈ R, then d(R) ⊆ P or R/P is commutative
Publikováno v:
Journal of Algebra and Its Applications. 21
Let [Formula: see text] be a commutative ring with [Formula: see text]. A proper ideal [Formula: see text] of [Formula: see text] is said to be a strongly quasi-primary ideal if, whenever [Formula: see text] with [Formula: see text], then either [For