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Kashu Alexei
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Research interests
Mathematics (algebra: rings, modules, cathegories)Important publications
- 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).
Membership in Societies and Editorial Boards
- Mathematical Society of the Republic of Moldova (society's consilium memeber).
- Revista "Buletinul AŞM. Matematica" (membru al biroului executiv).
- Revista "Algebra and Discrete Mathematics" (Ucraina, membru al colegiului redacţional).
Publications in Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica and 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)
