Results 111 to 120 of about 1,198,003 (194)

Primeness, semiprimeness and localisation in Iwasawa algebras [PDF]

arXiv, 2004
Necessary and sufficient conditions are given for the completed group algebras of a compact p-adic analytic group with coefficient ring the p-adic integers or the field of p elements to be prime, semiprime and a domain. Necessary and sufficient conditions for the localisation at semiprime ideals related to the augmentation ideals of closed normal ...
arxiv  

Affirmative answer to the Question of Leroy and Matczuk on injectivity of endomorphisms of semiprime left Noetherian rings with large images [PDF]

arXiv
The class of semiprime left Goldie rings is a huge class of rings that contains many large subclasses of rings -- semiprime left Noetherian rings, semiprime rings with Krull dimension, rings of differential operators on affine algebraic varieties and universal enveloping algebras of finite dimensional Lie algebras to name a few.
arxiv  

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  

Strong Commutativity Preserving Maps of Semiprime Rings [PDF]

, 1994
Matej Brešar, C. Robert Miers
openalex   +1 more source

Source of semiprimeness of $\ast$-prime rings

Journal of Amasya University the Institute of Sciences and Technology
This study constructs a structure $S_{R}^{\ast}$ that had never been studied before and obtained new results by defining a subset $S_{R}^{\ast}$ of $R$ as$S_{R}^{\ast}=\left\{ \left.
Barış Albayrak, Didem Yeşil, Didem Karalarlıoğlu Camcı   +2 more
doaj   +1 more source

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  

Goldie criteria for some semiprime rings [PDF]

, 1991
Ken A. Brown, B. A. F. Wehrfritz
openalex   +1 more source

Automorphisms and derivations in prime rings [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1999
Let R be a non-commutative ring, I a non-zero two-sided ideal of R and f a mapping on R such that f([x, y])−[x, y] is zero or invertible for every x, y ∈ I. If R is a prime ring and f a non-trivial automorphism or a non-zero derivation on R then either R
Vincenzo De Filippis
doaj  

Congruence Extensions in Congruence–Modular Varieties

Axioms
We investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences with respect to the term condition commutator.
George Georgescu, Leonard Kwuida, Claudia Mureşan   +2 more
doaj   +1 more source

Jordan mappings of semiprime rings

Journal of Algebra, 1989
An additive mapping 8 of a ring R into a 2-torsion free ring R’ is called a Jordan homomorphism if 6(ab +&z)=@(a) 8(b)+ 6(b) @(a) for all a, bE R. A well-known result of I. N. Herstein [4] states that every Jordan homomorphism onto a prime ring is either a homomorphism or an antihomomorphism.
openaire   +2 more sources