Document Type
Report
Source Publication Title
Technical Report 17
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.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
10-1-1974
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
McConnel, Robert M. and Beard Jr., Jacob T. B., "Matrix Fields Over the Integers Modulo m" (1974). Mathematics Technical Papers. 84.
https://mavmatrix.uta.edu/math_technicalpapers/84