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Matrix Fields Over the Integers Modulo m

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Matrix Fields Over the Integers Modulo m

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Title: Matrix Fields Over the Integers Modulo m
Author: McConnel, Robert M.; Beard, Jacob T. B., Jr.
Abstract: Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual matrix addition and multiplication. The primary purposes of this paper are to characterize and count all subfields of the ring [see pdf for notation] . Related results are given on field extensions in [see pdf for notation] of subfields of [see pdf for notation] . Partial results on subfields of [see pdf for notation] when R is an arbitrary finite commutative ring with identity are also given. Having basic significance, a partial characterization of rings containing division rings is obtained.
URI: http://hdl.handle.net/10106/2179
Date: 1974-10

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