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PREGEOMETRIES ON SOME FINITELY GENERATED COMMUTATIVE SEMIGROUPS. / Уктамалиев, Икромжон Кахрамон угли.

In: Siberian Electronic Mathematical Reports, Vol. 22, No. 1, 2025, p. 735-750.

Research output: Contribution to journal › Article › peer-review

Harvard

Уктамалиев, ИКУ 2025, 'PREGEOMETRIES ON SOME FINITELY GENERATED COMMUTATIVE SEMIGROUPS', Siberian Electronic Mathematical Reports, vol. 22, no. 1, pp. 735-750. https://doi.org/10.33048/semi.2025.22.048

APA

Уктамалиев, И. К. У. (2025). PREGEOMETRIES ON SOME FINITELY GENERATED COMMUTATIVE SEMIGROUPS. Siberian Electronic Mathematical Reports, 22(1), 735-750. https://doi.org/10.33048/semi.2025.22.048

Vancouver

Уктамалиев ИКУ. PREGEOMETRIES ON SOME FINITELY GENERATED COMMUTATIVE SEMIGROUPS. Siberian Electronic Mathematical Reports. 2025;22(1):735-750. doi: 10.33048/semi.2025.22.048

Author

Уктамалиев, Икромжон Кахрамон угли. / PREGEOMETRIES ON SOME FINITELY GENERATED COMMUTATIVE SEMIGROUPS. In: Siberian Electronic Mathematical Reports. 2025 ; Vol. 22, No. 1. pp. 735-750.

BibTeX

@article{be5bcc6b8f3f429f80518491d253b2d0,
title = "PREGEOMETRIES ON SOME FINITELY GENERATED COMMUTATIVE SEMIGROUPS",
abstract = "Wediscuss the pregeometries of some nitely generated commutative semigroups. In this article, the case of nitely generated commutative semigroups having a unique extension is considered, and their pregeometries are studied. We prove that some such semigroups form a pregeometry with de nable and algebraic closure operators. When the de nable closure operator for such semigroups was studied, the degree of rigidity of these semigroups was evaluated. Moreover, it has been proven that a nitely generated, complete archimedean semigroup is a group, and its nite and innite cases have been deterimined",
keywords = "pregeometry, rigidity, nitely generated commutative semigroups, de nable closure operator, algebraic closure operator, archimedean semigroups",
author = "Уктамалиев, {Икромжон Кахрамон угли}",
year = "2025",
doi = "10.33048/semi.2025.22.048",
language = "English",
volume = "22",
pages = "735--750",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - PREGEOMETRIES ON SOME FINITELY GENERATED COMMUTATIVE SEMIGROUPS

AU - Уктамалиев, Икромжон Кахрамон угли

PY - 2025

Y1 - 2025

N2 - Wediscuss the pregeometries of some nitely generated commutative semigroups. In this article, the case of nitely generated commutative semigroups having a unique extension is considered, and their pregeometries are studied. We prove that some such semigroups form a pregeometry with de nable and algebraic closure operators. When the de nable closure operator for such semigroups was studied, the degree of rigidity of these semigroups was evaluated. Moreover, it has been proven that a nitely generated, complete archimedean semigroup is a group, and its nite and innite cases have been deterimined

AB - Wediscuss the pregeometries of some nitely generated commutative semigroups. In this article, the case of nitely generated commutative semigroups having a unique extension is considered, and their pregeometries are studied. We prove that some such semigroups form a pregeometry with de nable and algebraic closure operators. When the de nable closure operator for such semigroups was studied, the degree of rigidity of these semigroups was evaluated. Moreover, it has been proven that a nitely generated, complete archimedean semigroup is a group, and its nite and innite cases have been deterimined

KW - pregeometry

KW - rigidity

KW - nitely generated commutative semigroups

KW - de nable closure operator

KW - algebraic closure operator, archimedean semigroups

UR - https://math-semr.ru/sites/math-semr.ru/files/2025-07/p0735-0750.pdf

U2 - 10.33048/semi.2025.22.048

DO - 10.33048/semi.2025.22.048

M3 - Article

VL - 22

SP - 735

EP - 750

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 1

ER -

ID: 71568439