Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din Moldova
RO
EN
Structura
Colaboratori
Publicaţii
Proiecte
Doctorat
Conferinţe
Noutăţi
Ştiri Europene
Comitetul Sindical
IMI
/
Colaboratori
/
Laboratorul "Algebră şi Topologie"
/
Caşu Alexei
Titluri:
doctor habilitat, profesor universitar
Postul:
cercetător ştiinţific principal
Data naşterii:
20 august 1940
Lucrări:
108
Limbi străine:
Rusa, Engleza, Franceza
Telefon:
73-81-13
Email:
Domeniul de cercetare
Matematica ( algebra: inele, module, categorii; teoria radicalilor în module)
Lucrări importante
Morita contexts, preradicals and closure operators in modules.
Kashu, A. I. BASM, N 1 (98), 2022, pp.83-98.
Preradicals and characteristic submodules: connections and operations.
"Algebra and Discrete Mathematics", vol. 9, Nr.2, 2010, p. 61 – 77.
Sisteme numerice.
Coautori I.Goian, P.Sîrbu, USM, CECMI ( seria Manuale şi Monografii ), Chişinău, 2008.
Introducere în teoria modulelor (manual).
Centrul Editorial al USM, Chişinău, 2003.
Functori şi torsiuni în categorii de module.
A.S.R.M., Inst.matem., Ştiinţa, 1997 (în limba rusă).
Radicali şi torsiuni în module.
Chişinău, Ştiinţa, 1983 (în limba rusă).
Apartenenţa la societăţi, redacţii
Societatea Matematică din Republica Moldova (membru al consiliului societăţii).
Revista "Buletinul AŞM. Matematica" (membru al biroului executiv).
Revista "Algebra and Discrete Mathematics" (Ucraina, membru al colegiului redacţional).
Publicaţii în Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica şi Quasigroups and Related Systems
2022
Morita Contexts, Preradicals and Closure Operators in Modules
2020
Closure operators in modules and their characterizations
2019
Morita contexts and closure operators in modules
2018
Closure operators in modules and adjoint functors, II
2017
Pretorsions in modules and associated closure operators
2014
Closure operators in the categories of modules. Part IV (Relations between the operators and preradicals)
2014
Closure operators in the categories of modules. Part III (Operations in CO and their properties)
2012
On partial inverse operations in the lattice of submodules
2010
On preradicals associated to principal functors of module categories. III.
2009
On preradicals associated to principal functors of module categories. II
2009
On preradicals associated to principal functors of module categories, I.
2007
On natural and conatural sets of left ideals of a ring.
2006
Natural classes and torsion free classes in categories of modules.
2005
On the lattice of closed classes of modules.
2004
On natural classes of R-modules in the language of ring R.
2002
Some remarks on approximation of preradicals in modules(English)
2001
On some bijections between ideals, classes of modules and preradicals of R-mod.
1999
The classes of divisible and reduced modules associated to the torsion theories. (English)
1997
A short survey on torsion theories in modules. (English)
1995
Torsion theories and dualities in Morita contexts. (English)
1994
Torsion theories and subcategories of divisible modules. (English)
1994
Morita contexts and correspondences between lattices of submodules. (Russian)
1992
Some mappings of lattices of submodules in Morita contexts. (Russian)
1992
Lattices of submodules and Galois connections. (English)