A study of some rings of finite power

<p>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.</p>

Name thesis:degree_name

Master of Science (MS) in Mathematics

Level thesis:degree_level

Thesis: EWU Only

Discipline thesis:degree_discipline

Mathematics

Year

1973

Author dc:creator

• France, Robert Eugene

• Algebra

Statement dc:rights

• Access perpetually restricted to EWU users with an active EWU NetID

Repository record dc:identifier

https://dc.ewu.edu/theses/915

OAI identifier oai:identifier

oai:dc.ewu.edu:theses-1917