Vol. 26, No. 2, 1968

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Some ring extensions with matrix representations

Carl W. Kohls and Lawrence James Lardy

Vol. 26 (1968), No. 2, 341–348

A new type of ring extension introduced by J. Szendrei, which may be viewed as a generalization of the splitting Everett extension, will be discussed. The examples of this type of extension given by Szendrei are generalizations of the complex field extension of the real field, and of the quaternion extension of the complex field. Our investigation produces a larger class of examples.

Mathematical Subject Classification
Primary: 16.80
Received: 3 October 1966
Published: 1 August 1968
Carl W. Kohls
Lawrence James Lardy