Results 11 to 20 of about 1,823 (188)

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

Baer and quasi-Baer annihilator conditions for nearrings and rings

Communications in Algebra, 2022
A ring with unity is called Baer (quasi-Baer) if the left annihilator of each nonempty set (ideal) is generated by an idempotent element. The origins of the class of Baer rings evolved as an abstraction of the strictly algebraic properties of von Neumann algebras. This concept has been extended to nearrings.
Gary F. Birkenmeier, Nayil Kiliç, Figen Takil Mutlu, Edanur Taştan, Adnan Tercan, Ramazan Yaşar   +5 more
openaire   +3 more sources

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

Semi-Baer and Semi-Quasi Baer Properties of Skew 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 semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam, Ramy Abdel-Khaleq, Refaat Salem   +2 more
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

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

Baer and Baer *-ring characterizations of Leavitt path algebras [PDF]

Journal of Pure and Applied Algebra, 2018
We characterize Leavitt path algebras which are Rickart, Baer, and Baer $*$-rings in terms of the properties of the underlying graph. In order to treat non-unital Leavitt path algebras as well, we generalize these annihilator-related properties to locally unital rings and provide a more general characterizations of Leavitt path algebras which are ...
Hazrat, Roozbeh (R16959), Vas, Lia
openaire   +4 more sources

Conrad’s Partial Order on P.Q.-Baer *-Rings

Discussiones Mathematicae - General Algebra and Applications, 2018
We prove that a p.q.-Baer *-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer *-rings which are lattices. The initial segments of a p.q.-Baer *-ring with the Conrad’s partial order are shown to be an orthomodular ...
Khairnar Anil, Waphare B.N.
doaj   +1 more source