Matrix Fields Over the Integers Modulo m

dc.contributor.author	McConnel, Robert M.	en
dc.contributor.author	Beard, Jacob T. B., Jr.	en
dc.date.accessioned	2010-05-26T18:00:27Z	en
dc.date.available	2010-05-26T18:00:27Z	en
dc.date.issued	1974-10	en
dc.identifier.uri	http://hdl.handle.net/10106/2179	en
dc.description.abstract	Please note that the full text is embargoed 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