Results 271 to 280 of about 17,177 (306)
Fully \(^*\)-prime rings with involution [PDF]
, 2018 Let \(R\) be an associative ring, not necessarily unital. An involution \(*\) on \(R\) is an additive map on \(R\) such that \((a^*)^*=a\) and \((ab)^*=b^*a^*\) for every \(a\), \(b\in R\). The author studies properties of \(*\)-prime rings, that is rings with involution.
Mendes, D. I. C.
openaire +3 more sources
Derivations and Jordan ideals in prime rings [PDF]
Journal of Taibah University for Science, 2014 The purpose of this paper is to study derivations satisfying certain differential identities on Jordan ideals of prime rings. Some well known results characterizing commutativity of prime rings by derivations have been generalized by using Jordan ideals.
Abdellah Mamouni +2 more
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Journal of Algebra and Its Applications, 2009
In this paper we characterize *-prime group rings. We prove that the group ring RG of the group G over the ring R is *-prime if and only if R is *-prime and Λ+(G) = (1). In the process we obtain more examples of group rings which are *-prime but not strongly prime.
Joshi, Kanchan +2 more
openaire +1 more source
In this paper we characterize *-prime group rings. We prove that the group ring RG of the group G over the ring R is *-prime if and only if R is *-prime and Λ+(G) = (1). In the process we obtain more examples of group rings which are *-prime but not strongly prime.
Joshi, Kanchan +2 more
openaire +1 more source
Canadian Mathematical Bulletin, 1966
If R is a ring and I is a right ideal of R then I is called faithful if R - I is a faithful right R-module, i.e. if { r ∊ R: Rr⊆ I} = (0). I is called irreducible [ 1 ] provided that if J1 and J2 are right ideals such that J1 ∩ J2 = I, then J1 or J2 = I. Let N(I){ r ∊ R: rI⊆ I} and [ I: a ] = { r ∊ R: ar⊆ I} for a ∊ R. We write (a)r for [(0): a ].
Koh, K., Mewborn, A. C.
openaire +1 more source
If R is a ring and I is a right ideal of R then I is called faithful if R - I is a faithful right R-module, i.e. if { r ∊ R: Rr⊆ I} = (0). I is called irreducible [ 1 ] provided that if J1 and J2 are right ideals such that J1 ∩ J2 = I, then J1 or J2 = I. Let N(I){ r ∊ R: rI⊆ I} and [ I: a ] = { r ∊ R: ar⊆ I} for a ∊ R. We write (a)r for [(0): a ].
Koh, K., Mewborn, A. C.
openaire +1 more source
Canadian Mathematical Bulletin, 1983
AbstractLet R be a prime ring and d≠0 a derivation of R. We examine the relationship between the structure of R and that of d(R). We prove that if R is an algebra over a commutative ring A such that d(R) is a finitely generated submodule then R is an order in a simple algebra finite dimensional over its center.
openaire +2 more sources
AbstractLet R be a prime ring and d≠0 a derivation of R. We examine the relationship between the structure of R and that of d(R). We prove that if R is an algebra over a commutative ring A such that d(R) is a finitely generated submodule then R is an order in a simple algebra finite dimensional over its center.
openaire +2 more sources
On the Multiplication Ring of a Prime Ring
Communications in Algebra, 2006Given a positive integer n, we show there is a positive integer f(n) with the following property. Let R be a prime ring with extended centroid C, and let a 1,a 2,…,a n be C-independent elements of R. Then there is an element in the multiplication ring of R such that m ≤ f(n), p(a 1) = 0 and p(a 2),…,p(a n ) are C-independent. A similar approach is used
M. Brešar, W. S. Martindale
openaire +1 more source
On Compact Prime Rings and their Rings of Quotients
Canadian Mathematical Bulletin, 1968In [10], it is defined that a right (or left) ideal I of a ring R is very large if the cardinality of R/I is finite. It is also proven in [10, Theorem 3.4] that if R is a prime ring with 1 such that its characteristic is zero, then R is a right order in a simple ring with the minimum condition on one sided ideals if every large right ideal of R is very
openaire +1 more source
Semiderivations and Commutativity in Prime Rings
Canadian Mathematical Bulletin, 1988AbstractA semiderivation of a ring R is an additive mapping f:R → R together with a function g:R → R such that f(xy) = f(x)g(y) + xf(y) = f(x)y + g(x)f(y) and f(g(x) ) = g(f(x)) for all x, y ∊ R. Motivating examples are derivations and mappings of the form x → x — g(x), g a ring endomorphism.
Bell, H. E., Martindale, W. S. III
openaire +2 more sources
Prime and homogeneous rings and algebras
Algebra i logika, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
JORDAN *-DERIVATIONS OF PRIME RINGS
Journal of Algebra and Its Applications, 2014Let R be a prime ring, which is not commutative, with involution * and with Qms(R) the maximal symmetric ring of quotients of R. An additive map δ : R → R is called a Jordan *-derivation if δ(x2) = δ(x)x* + xδ(x) for all x ∈ R. A Jordan *-derivation of R is called X-inner if it is of the form x ↦ xa - ax* for x ∈ R, where a ∈ Qms(R).
Lee, Tsiu-Kwen, Zhou, Yiqiang
openaire +2 more sources