
Virgilius-Aurelian MinuțăBabeș-Bolyai University | UBB · Department of Mathematics
Virgilius-Aurelian Minuță
PhD
About
14
Publications
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16
Citations
Introduction
Skills and Expertise
Additional affiliations
October 2020 - September 2022
October 2016 - present
Education
October 2016 - September 2021
October 2014 - September 2016
October 2011 - July 2014
Publications
Publications (14)
We develop a group graded Morita theory over a G-graded G-acted algebra, where G is a finite group.
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.
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.
Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.
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 ...
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.
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.
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.
Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.
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.
We develop a group graded Morita theory over a G-graded G-acted algebra, where G is a finite group.
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.
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.
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...