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Communications in Algebra Volume 34, 2006 - Issue 2
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Original Articles

On Homogeneous Standard Integral Table Algebras of Degree 4

Z. Arad Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel; Department of Mathematics and Computer Science, Netanya Academic College, Netanya, Israel
,
Y. Erez Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel
&
M. Muzychuk Department of Mathematics and Computer Science, Netanya Academic College, Netanya, IsraelCorrespondence[email protected]
Pages 463-519 | Received 19 Oct 2003, Published online: 03 Sep 2006
 
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ABSTRACT

In this paper we classify, up to exact isomorphism, the algebras in the title which contain a faithful element and in which every non-trivial table subset has dimension at least five.

Mathematics Subject Classification:

ACKNOWLEDGMENTS

The contribution of author Y. Erez to this article is a part of his Ph.D. thesis at Bar-Ilan University.

M. Muzychuk was partially supported by the Israeli Ministry of Absorption. The authors would like to thank the anonymous referee for valuable remarks and corrections.

Notes

1We do not assume that A is finite dimensional.

2Here and later on, δ ab is the Kronecker's delta.

3The elements y 1, y 2, y 3 are not necessarily distinct.

Communicated by E. Zelmanov.

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