Matrix Fields Over the Integers Modulo m

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Matrix Fields Over the Integers Modulo m

Show simple item record McConnel, Robert M. en Beard, Jacob T. B., Jr. en 2010-05-26T18:00:27Z en 2010-05-26T18:00:27Z en 1974-10 en
dc.identifier.uri en
dc.description.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. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;17 en
dc.subject Matrix fields en
dc.subject Integers en
dc.subject Rings en
dc.subject.lcsh Mathematics Research en
dc.title Matrix Fields Over the Integers Modulo m en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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