Results 111 to 120 of about 4,079 (208)
Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]
Heliyon, 2021 Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc +1 more source
A look at the prime and semiprime operations of one-dimensional domains [PDF]
arXiv, 2009 We continue the analysis of prime and semiprime operations over one-dimensional domains started in \cite{Va}. We first show that there are no bounded semiprime operations on the set of fractional ideals of a one-dimensional domain. We then prove the only prime operation is the identity on the set of ideals in semigroup rings where the ideals are ...
arxiv
Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings
International Journal of Mathematics and Mathematical Sciences, 2014 Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R. We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed ...
Vincenzo De Filippis +2 more
doaj +1 more source
On multiplicative (generalized)-derivations in semiprime rings
, 2017 In this paper, we study commutativity of a prime or semiprime ring using a map F : R −→ R, multiplicative (generalized)-derivation and a map H : R −→ R, multiplicative left centralizer, under the following conditions: For all x, y ∈ R, i) F (xy) ± H(xy) =
K. Didem, Aydin
semanticscholar +1 more source
A new notion of semiprime submodules [PDF]
arXivWe introduce a new concept of a semiprime submodule. We show that a submodule of a finitely generated module over a commutative ring is semiprime if and only if it is radical, that is, an intersection of prime submodules. Using our notion, we also provide a new characterization of radical submodules of finitely generated modules over commutative rings.
arxiv
On the structure of Goldie Modules [PDF]
arXiv, 2016 Given a semiprime Goldie module $M$ projective in $\sigma[M]$ we study decompositions on its $M$-injective hull $\hat{M}$ in terms of the minimal prime in $M$ submodules. With this, we characterize the semiprime Goldie modules in $\mathbb{Z}$-Mod and make a decomposition of the endomorphism ring of $\hat{M}$.
arxiv
Modules over strongly semiprime ring [PDF]
arXiv, 2017 $\textbf{Theorem 1.3.}$ For a given ring $A$ with right Goldie radical $G(A_A)$, the following conditions are equivalent. $\textbf{1)}$ Every non-singular right $A$-module $X$ which is is injective with respect to some essential right ideal of the ring $A$ is an injective module. $\textbf{2)}$ $A/G(A_A)$ is a right strongly semiprime ring.
arxiv