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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 1200–1210
DOI: https://doi.org/10.33048/semi.2023.20.074
(Mi semr1637)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
On equivalence classes of matrices over a finite field of odd characteristic
E. V. Zhuravlev
Altai State University, pr. Lenina, 61, 656049, Barnaul, Russia
DOI:
https://doi.org/10.33048/semi.2023.20.074
Abstract:
In this article we classified up to isomorphism all finite local rings $R$ with Jacobson radical $J$ and conditions:
$$\mathrm{char} R\neq 2,\ R/J=F\subseteq Z(R),\ {\dim_F J/J^2=2},\ {\dim_F J^2=3},\ {J^3=0}.$$
Keywords:
finite rings, local rings.
Received July 14, 2023, published December 7, 2023
Citation:
E. V. Zhuravlev, “On equivalence classes of matrices over a finite field of odd characteristic”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1200–1210
Linking options:
https://www.mathnet.ru/eng/semr1637 https://www.mathnet.ru/eng/semr/v20/i2/p1200
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