Results 271 to 280 of about 42,209 (310)
Some of the next articles are maybe not open access.
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
exaly +2 more sources
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
Results in Mathematics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birkenmeier, Gary +2 more
openaire +1 more source
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birkenmeier, Gary +2 more
openaire +1 more source