A. A. Fomin, “To quotient divisible group theory. I”, Fundam. Prikl. Mat., 17:8 (2012), 153–167; J. Math. Sci., 197:5 (2014), 688

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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 8, Pages 153–167 (Mi fpm1479)

This article is cited in 19 scientific papers (total in 19 papers)

To quotient divisible group theory. I

A. A. Fomin

Moscow State Pedagogical University

Full-text PDF (165 kB) Citations (19)

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Abstract: Some basic theorems about quotient divisible Abelian groups are proved.

English version:
Journal of Mathematical Sciences (New York), 2014, Volume 197, Issue 5, Pages 688–697
DOI: https://doi.org/10.1007/s10958-014-1752-z

Bibliographic databases:

Document Type: Article

UDC: 512.541

Language: Russian

Citation: A. A. Fomin, “To quotient divisible group theory. I”, Fundam. Prikl. Mat., 17:8 (2012), 153–167; J. Math. Sci., 197:5 (2014), 688–697

Citation in format AMSBIB

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\by A.~A.~Fomin

\paper To quotient divisible group theory.~I

\jour Fundam. Prikl. Mat.

\yr 2012

\vol 17

\issue 8

\pages 153--167

\mathnet{http://mi.mathnet.ru/fpm1479}

\transl

\jour J. Math. Sci.

\yr 2014

\vol 197

\issue 5

\pages 688--697

\crossref{https://doi.org/10.1007/s10958-014-1752-z}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84893860278}

Linking options:

https://www.mathnet.ru/eng/fpm1479

https://www.mathnet.ru/eng/fpm/v17/i8/p153

Cycle of papers

To quotient divisible group theory. I
A. A. Fomin
Fundam. Prikl. Mat., 2012, 17:8, 153–167
On the quotient divisible group theory. II
A. A. Fomin
Fundam. Prikl. Mat., 2015, 20:5, 157–196

This publication is cited in the following 19 articles:

Ekaterina Igorevna Kompantseva, Thi Quynh Trang Nguyen, “Multiplication groups of quotient divisible Abelian groups”, J. Algebra Appl., 23:10 (2024)
Ekaterina Kompantseva, T. Q. Trang Nguyen, Varvara Gazaryan, “Radicals of Rings with Quotient Divisible Additive Groups”, Vietnam J. Math., 2024
O. V. Ljubimtsev, “Endomorphism of Abelian Groups as Modules over Their Endomorphism Rings”, Math. Notes, 109:6 (2021), 909–917
M. N. Zonov, E. A. Timoshenko, “Quotient Divisible Groups of Rank 2”, Math. Notes, 110:1 (2021), 48–60
A. V. Tsarev, “A generalization of quotient divisible groups to the infinite rank case”, Siberian Math. J., 62:3 (2021), 554–559
O. V. Ljubimtsev, “Completely Decomposable Quotient Divisible Abelian Groups with Isomorphic Endomorphism Semigroups”, Math. Notes, 108:2 (2020), 209–218
T. K. Ch. Nguen, “Abelevy SACR-gruppy”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2020, no. 63, 27–36
N. I. Kryuchkov, “Homological properties of quotient divisible abelian groups and compact groups dual to them”, Vestn. St. Petersbg. Univ., Math., 7:2 (2020), 149–154
O. V. Lyubimtsev, “On a class of quotient divisible Abelian groups with isomorphic endomorphism semigroups”, J. Math. Sci., 259:4 (2021), 467–473
E. I. Kompantseva, A. A. Fomin, “Faktorno delimye gruppy i gruppy bez krucheniya, sootvetstvuyuschie konechnym abelevym gruppam”, Chebyshevskii sb., 20:2 (2019), 221–233
A. A. Fomin, “Torsion-free Abelian groups of finite rank with marked bases”, J. Math. Sci., 257:6 (2021), 883–901
V. K. Vildanov, O. V. Ljubimtsev, D. S. Chistyakov, “On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups”, Math. Notes, 103:3 (2018), 372–377
E. V. Gordeeva, A. A. Fomin, “Vpolne razlozhimye odnorodnye faktorno delimye abelevy gruppy”, Chebyshevskii sb., 19:2 (2018), 377–388
“To the 65th Birthday of Professor Alexander Alexandrovich Fomin”, J Math Sci, 230:3 (2018), 355
O. V. Lyubimtsev, “On determinacy of completely decomposable quotient divisible abelian groups by its endomorphism semigroups”, Russian Math. (Iz. VUZ), 61:10 (2017), 65–71
A. V. Tsarev, “$E$-koltsa malykh rangov”, Chebyshevskii sb., 18:2 (2017), 235–244
O. V. Ljubimtsev, “Completely Decomposable Quotient Divisible Abelian Groups with $\mathrm{UA}$-Rings of Endomorphisms”, Math. Notes, 98:1 (2015), 130–137
N. I. Kryuchkov, “Compact groups that are duals of quotient divisible Abelian groups”, J. Math. Sci., 230:3 (2018), 428–432
A. A. Fomin, “On the quotient divisible group theory. II”, J. Math. Sci., 230:3 (2018), 457–483

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	512
Full-text PDF :	196
References:	90
First page:	2

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