T 1-Separable Numberings of Subdirectly Indecomposable Algebras | Sciact - Система учета научной деятельности ИМ СО РАН

T 1-Separable Numberings of Subdirectly Indecomposable Algebras Научная публикация

Журнал

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Вых. Данные

Год: 2021, Том: 60, Номер: 4, Страницы: 263-278 Страниц : 16 DOI: 10.1007/s10469-021-09651-x

Ключевые слова

Artinianness; computable and enumerable topologies; effective separability; negativity; Noetherianness; positivity; subdirect indecomposability; topological numbered algebras; translational precompleteness

Авторы

Kasymov N.K. ¹ , Morozov A.S. ² , Khodzhamuratova I.A. ¹

Организации

1	National Mirzo Ulugbek University of Uzbekistan, Tashkent, Uzbekistan
2	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

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.

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

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

Web of science:	WOS:000725412800006
Scopus:	2-s2.0-85120739252
OpenAlex:	W4200209051

БД	Цитирований
Scopus	4
OpenAlex	3
Web of science	2