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20072024
most citedRickart and dual Rickart objects in abelian categories: transfer via functors

13 citations · 41 across the 13 of their papers we have counts for

collaborators

14 papers

math.RA2024

Rational group algebras of generalized strongly monomial groups: primitive idempotents and units

Gurmeet K. Bakshi, Jyoti Garg, Gabriela Olteanu

We present a method to explicitly compute a complete set of orthogonal primitive idempotents in a simple component with Schur index 1 of a rational group algebra for…

math.CT2018★ 5 cited

Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects

Septimiu Crivei, Gabriela Olteanu

We show how the theory of (dual) strongly relative Rickart objects may be employed in order to study strongly relative regular objects and (dual) strongly relative Baer objects in…

math.CT2018★ 9 cited

Strongly Rickart objects in abelian categories

Septimiu Crivei, Gabriela Olteanu

We introduce and study (dual) strongly relative Rickart objects in abelian categories. We prove general properties, we analyze the behaviour with respect to (co)products, and we st…

math.CT2017★ 13 cited

Rickart and dual Rickart objects in abelian categories: transfer via functors

Septimiu Crivei, Gabriela Olteanu

We study the transfer of (dual) relative Rickart properties via functors between abelian categories, and we deduce the transfer of (dual) relative Baer property. We also give appli…

math.RT2014

On idempotents and the number of simple components of semisimple group algebra

Gabriela Olteanu, Inneke Van Gelder

We describe the primitive central idempotents of the group algebra over a number field of finite monomial groups. We give also a description of the Wedderburn decomposition of the…

math.RT2013★ 8 cited

Finite group algebras of nilpotent groups: a complete set of orthogonal primitive idempotents

Inneke Van Gelder, Gabriela Olteanu

We provide an explicit construction for a complete set of orthogonal primitive idempotents of finite group algebras over nilpotent groups. Furthermore, we give a complete set of ma…