Results 131 to 140 of about 3,083 (173)

Centralizers and Jordan triple derivations of semiprime rings

Communications in Algebra, 2018
Let R be a semiprime ring with extended centroid C and with maximal left ring of quotients . An additive map is called a Jordan triple derivation if for all . In 1957, Herstein proved that a Jordan triple derivation, which is also a Jordan derivation, of
Tsiu-Kwen Lee, T. Quynh
semanticscholar   +1 more source

Semiprime submodules of a module and related concepts

Journal of Algebra and its Applications, 2019
In this paper, we consider the notion of semiprime submodules, which is a natural generation of semiprime ideals. The main purpose of this paper is to give local-global properties of semiprimes and semiprime radicals as well as results on finitely ...
Sang Cheol Lee, R. Varmazyar
semanticscholar   +1 more source

Distributive semiprime rings

Mathematical Notes, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Factoring Ideals into Semiprime Ideals

Canadian Journal of Mathematics, 1978
Let D be an integral domain with 1 ≠ 0 . We consider “property SP” in D, which is that every ideal is a product of semiprime ideals. (A semiprime ideal is equal to its radical.) It is natural to consider property SP after studying Dedekind domains, which involve factoring ideals into prime ideals.
Vaughan, N. H., Yeagy, R. W.
openaire   +2 more sources

Note on Lie ideals with symmetric bi-derivations in semiprime rings

Indian journal of pure and applied mathematics, 2022
E. K. Sögütcü, Shuliang Huang
semanticscholar   +1 more source

Derivations of differentially semiprime rings

Asian-European Journal of Mathematics, 2019
Earlier D. A. Jordan, C. R. Jordan and D. S. Passman have investigated the properties of Lie rings Der [Formula: see text] of derivations in a commutative differentially prime rings [Formula: see text].
Ahmad Al Khalaf, I. Taha, O. Artemovych, Abdullah Aljouiiee   +3 more
semanticscholar   +1 more source

Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
B. Dhara, S. Kar, Nripendu Bera
semanticscholar   +1 more source

Some identities involving generalized (α,β)-derivations in prime and semiprime rings

Asian-European Journal of Mathematics, 2022
M. Bera, B. Dhara, S. Kar
semanticscholar   +1 more source

Centralizing Mappings of Semiprime Rings

Canadian Mathematical Bulletin, 1987
AbstractLet R be a ring with center Z, and S a nonempty subset of R. A mapping F from R to R is called centralizing on S if [x, F(x)] ∊ Z for all x ∊ S. We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism or derivation which is centralizing on some nontrivial one-sided ideal.
Bell, H. E., Martindale, W. S. III
openaire   +2 more sources

ON GRADED SEMIPRIME AND GRADED WEAKLY SEMIPRIME IDEALS

2013
Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper, we define graded semiprime ideals of a commutative G-graded ring with nonzero identity and we give a number of results concerning such ideals. Also, we extend some results of graded semiprime ideals to graded weakly semiprime ideals.
FARZALİPOUR, Farkhonde, GHİASVAND, Peyman   +1 more
openaire   +1 more source