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Zbl 0821.16024
Derr, J.B.; Orr, G.F.; Peck, Paul S.
Noncommutative rings of order $p\sp 4$.
(English)
[J] J. Pure Appl. Algebra 97, No.2, 109-116 (1994). ISSN 0022-4049

From the authors' abstract: This paper describes all the isomorphism classes of noncommutative rings with unity and order $p\sp 4$. It is shown that for an odd prime $p$ there are $p + 8$ distinct classes of rings with characteristic $p$ and $p + 4$ classes for characteristic $p\sp 2$. For $p = 2$ there are 9 classes for characteristic 2 and 4 classes for characteristic 4.'' The description of commutative finite rings follows from the characterization of completely primary finite rings obtained by {\it R. S. Wilson} [Pac. J. Math. 53, 643-649 (1974; Zbl 0317.16008)].
[F.R.Bobovich (St.Peterburg)]
MSC 2000:
*16P10 Finite associative rings and finite-dimensional algebras

Keywords: isomorphism classes of noncommutative rings; order $p\sp 4$

Citations: Zbl 0317.16008

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