P. A. Krylov, A. A. Tuganbaev, “Formal matrices and their determinants”, Fundam. Prikl. Mat., 19:1 (2014), 65–119; J. Math. Sci., 211:3 (2015), 341

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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 1, Pages 65–119 (Mi fpm1569)

This article is cited in 16 scientific papers (total in 16 papers)

Formal matrices and their determinants

P. A. Krylov^a, A. A. Tuganbaev^b

^a National Research Tomsk State University, Tomsk, Russia
^b National Research University "Moscow Power Engineering Institute", Moscow, Russia

Full-text PDF (450 kB) Citations (16)

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Abstract: In the presented paper, we study formal matrix rings over a given ring and determinants of such matrices.

English version:
Journal of Mathematical Sciences (New York), 2015, Volume 211, Issue 3, Pages 341–380
DOI: https://doi.org/10.1007/s10958-015-2610-3

Bibliographic databases:

Document Type: Article

UDC: 512.552+512.64

Language: Russian

Citation: P. A. Krylov, A. A. Tuganbaev, “Formal matrices and their determinants”, Fundam. Prikl. Mat., 19:1 (2014), 65–119; J. Math. Sci., 211:3 (2015), 341–380

Citation in format AMSBIB

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\by P.~A.~Krylov, A.~A.~Tuganbaev

\paper Formal matrices and their determinants

\jour Fundam. Prikl. Mat.

\yr 2014

\vol 19

\issue 1

\pages 65--119

\mathnet{http://mi.mathnet.ru/fpm1569}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431871}

\transl

\jour J. Math. Sci.

\yr 2015

\vol 211

\issue 3

\pages 341--380

\crossref{https://doi.org/10.1007/s10958-015-2610-3}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84945208833}

Linking options:

https://www.mathnet.ru/eng/fpm1569

https://www.mathnet.ru/eng/fpm/v19/i1/p65

This publication is cited in the following 16 articles:

I. A. Kulguskin, D. T. Tapkin, “Involutions of K<sub>s</sub>(R)”, jour, 1:4 (2024), 81
I. A. Kulguskin, D. T. Tapkin, “Involutions of $\boldsymbol{K}_{\boldsymbol{s}}\boldsymbol{(R)}$”, Lobachevskii J Math, 45:4 (2024), 1850
Ts. D. Norbosambuev, “Khoroshie koltsa formalnykh matrits nad koltsami vychetov”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2023, no. 85, 32–42
Ts. D. Norbosambuev, E. A. Timoshenko, “O $k$-nil-khoroshikh koltsakh formalnykh matrits”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2022, no. 77, 17–26
A. Yu. Stepanova, E. A. Timoshenko, “Matrichnoe predstavlenie endomorfizmov primarnykh grupp malykh rangov”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2021, no. 74, 30–42
Ts. D. Norbosambuev, E. A. Timoshenko, “Ob odnom klasse 3-khoroshikh kolets formalnykh matrits”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2020, no. 67, 55–62
P. A. Krylov, A. A. Tuganbaev, A. V. Tsarev, “Around Baer–Kaplansky theorem”, J. Math. Sci. (N. Y.), 256:3 (2021), 278–298
V. M. Misyakov, “Abelian groups with $\pi$-regular center of the endomorphism ring”, Russian Math. (Iz. VUZ), 63:11 (2019), 40–46
O. V. Ivanets, V. M. Misyakov, “Abelian groups with enough $\pi$-regular ring of endomorphisms”, Russian Math. (Iz. VUZ), 62:9 (2018), 17–23
D. T. Tapkin, “Isomorphisms of formal matrix rings with zero trace ideals”, Siberian Math. J., 59:3 (2018), 523–535
Ts. D. Norbosambuev, “Rang formalnoi matritsy. Sistema formalnykh lineinykh uravnenii. Deliteli nulya”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2018, no. 52, 5–12
P. A. Krylov, T. D. Norbosambuev, “Automorphisms of formal matrix algebras”, Siberian Math. J., 59:5 (2018), 885–893
A. N. Abyzov, A. A. Tuganbaev, “Formal matrices and rings close to regular”, J. Math. Sci., 233:5 (2018), 604–615
D. T. Tapkin, “Koltsa formalnykh matrits i obobschenie algebry intsidentnosti”, Chebyshevskii sb., 16:3 (2015), 422–449
A. N. Abyzov, D. T. Tapkin, “Formal matrix rings and their isomorphisms”, Siberian Math. J., 56:6 (2015), 955–967
P. A. Krylov, A. A. Tuganbaev, “Grothendieck and Whitehead groups of formal matrix rings”, J. Math. Sci., 223:5 (2017), 606–628

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

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