Results 21 to 30 of about 984 (217)

The Baer–Kaplansky Theorem for all abelian groups and modules

Bulletin of Mathematical Sciences, 2022
It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
doaj   +1 more source

Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem, Ramy Abdel-Khalek, Mostafa Hamam   +2 more
doaj   +1 more source

A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]

Journal of Algebraic Systems
An ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
doaj   +1 more source

On the Trail of Creativity: Dimensionality of Divergent Thinking and Its Relation With Cognitive Abilities, Personality, and Insight

European Journal of Personality, EarlyView., 2020
Abstract Divergent thinking (DT) is an important constituent of creativity that captures aspects of fluency and originality. The literature lacks multivariate studies that report relationships between DT and its aspects with relevant covariates, such as cognitive abilities, personality traits (e.g. openness), and insight. In two multivariate studies (N 
S. Weiss, D. Steger, Y. Kaur, A. Hildebrandt, U. Schroeders, O. Wilhelm, Christian Kandler   +6 more
wiley   +1 more source

Generalized π-Baer rings

TURKISH JOURNAL OF MATHEMATICS, 2020
Summary: We call a ring \(R\) generalized right \(\pi\)-Baer, if for any projection invariant left ideal \(Y\) of \(R\), the right annihilator of \(Y^n\) is generated, as a right ideal, by an idempotent, for some positive integer \(n\), depending on \(Y\).
Ali SHAHIDIKIA, Hamid HAJ SEYYED JAVADI, Ahmad MOUSSAVI   +2 more
openaire   +1 more source

Quasi-Baer ring extensions and biregrular rings [PDF]

Bulletin of the Australian Mathematical Society, 2000
A ringRwith unity is called a (quasi-) Baer ring if the left annihilator of every (left ideal) nonempty subset ofRis generated (as a left ideal) by an idempotent. Armendariz has shown that ifRis a reduced PI-ring whose centre is Baer, thenRis Baer.
Birkenmeier, Gary F., Kim, Jin Yong, Park, Jae Keol   +2 more
openaire   +1 more source

Generalized Baer rings

International Journal of Mathematics and Mathematical Sciences, 2006
We investigate the question whether the p.q.-Baer center of a ring R can be extended to R. We give several counterexamples to this question and consider some conditions under which the answer may be affirmative.
Tai Keun Kwak
doaj   +1 more source

TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS

, 2010
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly　rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core   +1 more source

A Note on Baer rings

Journal of Algebra, 1988
All rings in this paper are commutative rings with unit. For an element a of a ring R denote by \((a)^{\perp}\) the annihilator of the principal ideal (a). If \((a)^{\perp}=(e)\) for some idempotent e of R then e is unique and \(a^ 0\) denotes the element 1-e.
openaire   +3 more sources

Pure Baer injective modules

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper we generalize the notion of pure injectivity of modules by introducing what we call a pure Baer injective module. Some properties and some characterization of such modules are established.
Nada M. Al Thani
doaj   +1 more source