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T 1-Separable Numberings of Subdirectly Indecomposable Algebras Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2021, Volume: 60, Number: 4, Pages: 263-278 Pages count : 16 DOI: 10.1007/s10469-021-09651-x
Tags Artinianness; computable and enumerable topologies; effective separability; negativity; Noetherianness; positivity; subdirect indecomposability; topological numbered algebras; translational precompleteness
Authors Kasymov N.K. 1 , Morozov A.S. 2 , Khodzhamuratova I.A. 1
Affiliations
1 National Mirzo Ulugbek University of Uzbekistan, Tashkent, Uzbekistan
2 Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Abstract: We prove the existence of a natural subclass of subdirectly indecomposable algebras all of whose Hausdorff numberings are negative. We also construct a T1-separable nonnegative subdirectly indecomposable algebra with Artinian congruence lattice. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
Cite: Kasymov N.K. , Morozov A.S. , Khodzhamuratova I.A.
T 1-Separable Numberings of Subdirectly Indecomposable Algebras
Algebra and Logic. 2021. V.60. N4. P.263-278. DOI: 10.1007/s10469-021-09651-x WOS Scopus OpenAlex
Original: Касымов Н.Х. , Морозов А.С. , Ходжамуратова И.А.
О $T_1$-отделимых нумерациях подпрямо неразложимых алгебр
Алгебра и логика. 2021. Т.60. №4. С.400-424. DOI: 10.33048/alglog.2021.60.402 РИНЦ MathNet OpenAlex
Identifiers:
Web of science: WOS:000725412800006
Scopus: 2-s2.0-85120739252
OpenAlex: W4200209051
Citing:
DB Citing
Scopus 6
OpenAlex 5
Web of science 2
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