On the general theory of \((m,n)\) rings.

DOI10.1007/BF02483082zbMath0461.16029OpenAlexW2092490269MaRDI QIDQ1152444

J. J. Leeson, Alton T. Butson

Publication date: 1980

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02483082

zbMATH Keywords

lattices of congruences\(m\)-groups\((m,n)\)-rings\((m,n)\)-division rings\((m,n)\)-fields\(m\)-semigroupscommutative \(m\)-groupsfinite \((m,n)\)-division ringsPost coset theorem

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Semirings (16Y60) (n)-ary systems ((nge 3)) (20N15)

Related Items (5)

\((m,n)\)-semirings and a generalized fault-tolerance algebra of systems. ⋮ Structure of unital 3-fields ⋮ Equationally complete (m,n) rings ⋮ Polyadic integer numbers and finite \((m,n)\)-fields ⋮ Unnamed Item

Cites Work

• The lattice of equational classes of m-semigroups
• On \((n,m)\)-rings
• On (n,m)-quotient rings
• On the general theory of m-groups

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