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This article is cited in 4 scientific papers (total in 4 papers)
Mathematical logic, algebra and number theory
On the classification of finite commutative local rings
E. V. Zhuravlev Altai State University, pr. Lenina, 61, 656049, Barnaul, Russia
Abstract:
In this article we classified up to isomorphism all finite commutative local ring with Jacobson radical $ J $
the index of nilpotency four and conditions:
$$\mathrm{char}\, R=2,\ \dim_{R/J} J/J^2=2,\ \dim_{R/J} J^2/J^3=2,\ \dim_{R/J} J^3=1.$$
Keywords:
finite rings, local rings.
Received June 12, 2015, published September 22, 2015
Citation:
E. V. Zhuravlev, “On the classification of finite commutative local rings”, Sib. Èlektron. Mat. Izv., 12 (2015), 625–638
Linking options:
https://www.mathnet.ru/eng/semr612 https://www.mathnet.ru/eng/semr/v12/p625
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