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Currently displaying 1 – 5 of 5

Order by Relevance | Title | Year of publication

The representations of finite reflection groups.

Başer, Muhittin; Halıcıoğlu, Sait — 2004

Matematichki Vesnik

Specht modules for Weyl groups.

Halıcıoğlu, Sait; Morris, A.O. — 1993

Beiträge zur Algebra und Geometrie

Specht modules for finite groups

Sait Halicioğlu — 1999

Mathematica Slovaca

A generalization of reflexive rings

Mete Burak Çalcı; Huanyin Chen; Sait Halıcıoğlu — 2024

Mathematica Bohemica

We introduce a class of rings which is a generalization of reflexive rings and $J$ -reversible rings. Let $R$ be a ring with identity and $J (R)$ denote the Jacobson radical of $R$ . A ring $R$ is called $J$ -reflexive if for any $a, b \in R$ , $a R b = 0$ implies $b R a \subseteq J (R)$ . We give some characterizations of a $J$ -reflexive ring. We prove that some results of reflexive rings can be extended to $J$ -reflexive rings for this general setting. We conclude some relations between $J$ -reflexive rings and some related rings. We investigate some extensions of...

A subclass of strongly clean rings

Orhan Gurgun; Sait Halicioglu and Burcu Ungor — 2015

Communications in Mathematics

In this paper, we introduce a subclass of strongly clean rings. Let $R$ be a ring with identity, $J$ be the Jacobson radical of $R$ , and let $J^{#}$ denote the set of all elements of $R$ which are nilpotent in $R / J$ . An element $a \in R$ is called provided that there exists an idempotent $e \in R$ such that $a e = e a$ and $a - e$ or $a + e$ is an element of $J^{#}$ . A ring $R$ is said to be in case every element in $R$ is very $J^{#}$ -clean. We prove that every very $J^{#}$ -clean ring is strongly $π$ -rad clean and has stable range one. It is shown that for a commutative...

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