On the general theory of (m, n) rings
In this paper, the lattice of congruences of an (m, n) ring is determined, a generalization of the Wedderburn theorem for finite division rings is considered, all (2,n) fields, (2,n) rings of prime order, and all (3,n) rings of prime order are determined. A special class of (2,n) fields, called super-simple (2,n) fields, is characterized.
KeywordsPrime Order Homomorphic Image Algebra UNIV Division Ring Zero Element
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- Orr, G. F.,The lattice of varieties of semirings, Doctoral Dissertation, Univ. of Miami, 1973.Google Scholar
- Page, W. F.,The lattice of equational classes of m-semigroups, Doctoral Dissertation, Univ. of Miami, 1973.Google Scholar
- Timm, J.,Kommutative n-gruppen, Doctoral Dissertation, Univ. of Hamburg, 1967.Google Scholar