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Date of Award
Spring 1973
Rights
Access perpetually restricted to EWU users with an active EWU NetID
Document Type
Thesis: EWU Only
Degree Name
Master of Science (MS) in Mathematics
Department
Mathematics
Abstract
This thesis is an investigation into the determination of the numbers of non-isomorphic rings that exist for some finite orders. Evidently very few writers have pursued this topic. D. M. Bloom, in answer to an earlier posed problem, gave the results for order four in the American Mathematical Monthly , volume 71, October, 1964. Beginning with an initial characterization, results are established giving the number of non-isomorphic rings which are additively cyclic for any finite order. For any prime order and any finite order whose only abelian group is cyclic, this then would give the total number of nonisomorphic rings of that order. Cayley tables are presented for orders six and ten, and Bloom's results are amplified and Cayley tables are presented for order four in chapter 3. Incomplete results for orders eight and nine, together with their Cayley tables are presented in chapters 4 and 5. Directions for further study are discussed in chapter 6.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Recommended Citation
France, Robert Eugene, "A study of some rings of finite power" (1973). EWU Masters Thesis Collection. 915.
https://dc.ewu.edu/theses/915
