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Arnautov Vladimir
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Research interests
Topological algebraImportant publications
- Properties of coverings in lattices of ring topologies.
Arnautov, V.I., Ermakova, G.,N., BASM, 2022, 1(98), 66 – 74; - Общая Топология.
Арнаутов В.И., Малютина Н.Н., с. 108, Кишинёв 2010. - Кардинальные и трансфинитные числа.
Арнаутов В.И., Ермакова Г.Н., с. 76, Кишинёв 2010. - The theory of radical of topological rings.
Mathematica Japonica v.47, N.3, 1998, p.439-544. - Продолжение топологии коммутативного кольца на некоторые его кольца частных.
Математические исследования, вып.48, «Алгебры и модули.», Кишинёв, «Штиинца», 1998 г., с.3-12. - Introduction to the theory of topological rings and modules
(co-authors: S.T.Glavatsky, A.V.Mikhalev), New York-Basel-Hong Kong. Marcel Dekker 197, 1996. - О полноте топологических колец в максимальных топологиях.
Матем. сб., т.137, N 2, 1996 г., с. 4-18. - Об единственности топологий при некоторых конструкциях колец и модулей.
(в соавторстве с M.И.Урсул), Сиб. мат. жур., т. 36,.N 4, 1995 г., с.735-751. - Об единственности топологий при некоторых конструкциях.
(в соавторстве с M.И.Урсул), Изв. АН РМ., N 1(14), 1994 г., с.86-94. - О продолжении псевдонормы кольца на его кольцо частных.
Изв. АН РМ, N.2, 1992, с. 45-51. - О продолжении кольцевой топологии s-ограниченного поля на его простое трансцендентное расширение.
Матем. сб., т.133 (175), N 3(7), 1987 г., с. 275-292. - Продолжение локально-ограниченной топологии поля на его трансцендентные расширения.
«Алгебра и логика», т. 20, N. 5, Новосибирск, 1981 г., с.511-521. - Продолжение локaльно ограниченной топологии поля на его алгебраические расширения.
(в соавторстве с B.Н.Визитиу), ДAH CCCP, т.216, N.3, 1974 г, c.477-480.
Membership in Societies and Editorial Boards
- American Mathematical Society.
- Mathematical Society of the Republic of Moldova.
Publications in Computer Science Journal of Moldova, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica and Quasigroups and Related Systems
- 2022 Properties of coverings in lattices of ring topologies
- 2021 On non-discrete topologization of some countable skew fields
- 2020 On the number of topologies on countable skew fields
- 2019 On the number of topologies on countable fields
- 2018 Properties of finite unrefinable chains of ring topologies for nilpotent rings
- 2017 Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring
- 2017 Properties of accessible subrings of pseudonormed rings when taking quotient rings
- 2016 Lattice of all topologies of countable module over countable rings
- 2015 On the number of ring topologies on countable rings
- 2014 On the number of group topologies on countable groups
- 2013 On the number of metrizable group topologies on countable groups
- 2012 Method of construction of topologies on any finite set
- 2012 Properties of covers in the lattice of group topologies for nilpotent groups
- 2010 Method for constructing one-point expansions of a topology* on a finite set and its applications
- 2010 Properties of final unrefinable chains of groups topologies
- 2009 About group topologies of the primary Abelian group.
- 2008 Properties of one-sided ideals of pseudonormed rings when taking the quotient rings.
- 2007 Properties of accessible subrings of topological rings when taking quotient rings.
- 2006 Quotient rings of pseudonormed rings.
- 2006 Properties of one-sided ideals of topological rings.
- 2004 On overnilpotent radicals of topological rings.
- 2004 Semitopological isomorphism of topological groups.
- 1999 On coverings in the lattice of linear topologies. (English)
- 1998 An example of ring with non-modular lattice of ring topologies. (English)
- 1997 On the nonmodularity of the lattice of group topologies. (Russian)
- 1996 General theory of radicals of topological rings. (Russian)
- 1996 On premaximal topologies on vector spaces. (Russian)
- 1994 Uniqueness of topologies in the case of some constructions of rings and modules. (Russian)
- 1993 On isomorphisms of free topological groups, rings and modules generated by topological spaces. (Russian)
- 1992 On the extension of a pseudonorm of a ring to its field of quotients. (Russian)
