Projections of Galois rings. (English. Russian original) Zbl 1332.16013
Algebra Logic 54, No. 1, 10-22 (2015); translation from Algebra Logika 54, No. 1, 16-33 (2015).
In this paper, it is proved that if the subring lattice of an associative ring \(R^\varphi\) is isomorphic to the subring lattice of the Galois ring \(R=\text{GR}(p^n,q^m)\), where \(n>1\) and \(m>1\), then \(R\cong R^\varphi\).
Reviewer: Anna Kuzmina (Barnaul)
MSC:
| 16P10 | Finite rings and finite-dimensional associative algebras |
| 06B15 | Representation theory of lattices |
| 13M05 | Structure of finite commutative rings |
References:
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