G
Grigore Călugăreanu
Researcher at Babeș-Bolyai University
Publications - 68
Citations - 273
Grigore Călugăreanu is an academic researcher from Babeș-Bolyai University. The author has contributed to research in topics: Abelian group & Ring (mathematics). The author has an hindex of 7, co-authored 58 publications receiving 233 citations. Previous affiliations of Grigore Călugăreanu include Kuwait University.
Papers
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Nil-clean matrix rings
TL;DR: In this paper, the authors characterized the nil-clean matrix rings over fields and obtained a complete characterization of the finite rank Abelian groups with nil clean endomorphism ring and the Abelian group with strongly nil clean EH ring, respectively.
Book
Lattice Concepts of Module Theory
TL;DR: In this paper, the authors present a list of symbols for lattices, including: 1. Basic notions and results. 2. Compactly generated lattices. 3. Composition series. 4. Pseudo-complements.
The total number of subgroups of a finite abelian group
TL;DR: In this paper, a formula that gives the total number of subgroups of a finite abelian group is given, where the subgroups are defined in terms of the number of groups in the group.
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A nil-clean 2 × 2 matrix over the integers which is not clean
TL;DR: In this paper, the authors give an example of a nil-clean element in the matrix ring ℳ2(Z) which is not clean and show that it is possible to obtain a clean element in a matrix ring with the same number of elements.
Modules with Dedekind Finite Endomorphism Rings
TL;DR: A survey of modules whose endomorphism rings are Dedekind nite, Hopan or co-Hopan can be found in this article, where the authors also present a survey of Hopan modules.