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Babeș-Bolyai University | UBB · Department of Mathematics

PhD

About

14
Publications
723
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16
Citations
Additional affiliations
October 2020 - September 2022
Technical University of Cluj-Napoca
Position
  • Research Assistant
October 2016 - present
Babeș-Bolyai University
Position
  • Research Assistant
Education
October 2016 - September 2021
Babeș-Bolyai University
Field of study
  • Mathematics
October 2014 - September 2016
Babeș-Bolyai University
Field of study
  • Didactics of Mathematics
October 2011 - July 2014
Ovidius University
Field of study
  • Mathematics and Computer Science

Publications

Publications (14)
Article
Full-text available
We develop a group graded Morita theory over a G-graded G-acted algebra, where G is a finite group.
Article
We introduce Morita and Rickard equivalences over a group graded G-algebra between block extensions. A consequence of such equivalences is that Späth’s central order relation holds between two corresponding character triples.
Article
Motivated by the reduction techniques involving character triples for the local-global conjectures, we show that a blockwise relation between module triples is a consequence of a derived equivalence with additional properties. Moreover, we show that this relation is compatible with wreath products.
Article
Full-text available
Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.
Article
To a strongly 𝐺-graded algebra 𝐴 with 1-component 𝐵, we associate the group Picent gr ⁢ ( A ) \mathrm{Picent}^{\mathrm{gr}}(A) of isomorphism classes of invertible 𝐺-graded ( A , A ) (A,A) -bimodules over the centralizer of 𝐵 in 𝐴. Our main result is a Picent \mathrm{Picent} version of the Beattie–del Río exact sequence, involving Dade’s group G ⁢...
Preprint
Full-text available
We show that a skew category algebra can be embedded into a twisted tensor product algebra. We investigate the extension of some concepts of Puig and Turull from group algebras to category algebras and their behavior with respect to skew category algebras.
Preprint
Full-text available
To a strongly G-graded algebra A with 1-component B we associate the group Picentᵍʳ(A) of isomorphism classes of invertible G-graded (A,A)-bimodules over the centralizer of B in A. Our main result is a Picent version of the Beattie-del Río exact sequence, involving Dade's group G[B], which relates Picentᵍʳ(A), Picent(B), and group cohomology.
Preprint
Full-text available
Motivated by the reduction techniques involving character triples for the local-global conjectures, we show that a blockwise relation between module triples is a consequence of a derived equivalence with additional properties. Moreover, we show that this relation is compatible with wreath products.
Preprint
Full-text available
Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.
Article
We prove a group graded Morita equivalences version of the "butterfly theorem" on character triples. This gives a method to construct an equivalence between block extensions from another related equivalence.
Preprint
Full-text available
We develop a group graded Morita theory over a G-graded G-acted algebra, where G is a finite group.
Preprint
Full-text available
We introduce Morita and Rickard equivalences over a group graded G-algebra between block extensions. A consequence of such equivalences is that Späth's central order relation holds between two corresponding character triples.
Preprint
Full-text available
We prove a group graded Morita equivalences version of the "butterfly theorem" on character triples. This gives a method to construct an equivalence between block extensions from another related equivalence.
Chapter
Full-text available
The core of our paper is represented by the development of the HypeRSimRIP application that can be used for various networking purposes, such as designing a network or setting routing processes. Likewise, the application implements didactical functions useful for teaching networking-related concepts and experimental capabilities that enable its use...

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