Strong finite embeddability for classes of quasigroups

DOI10.1007/BF02485260zbMath0323.08007OpenAlexW2095312930MaRDI QIDQ1224123

Maurice Eggen, Robert A. Chaffer, Richard St. André, Douglas D. Smith

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf02485260

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Structure theory of algebraic structures (08A05) Varieties (08B99) Algebraic structures (08Axx)

Related Items

Embedding partial totally symmetric quasigroups., A construction of orthogonal arrays and applications to embedding theorems, Quasivarieties of algebraic systems, Finite embeddability in a class of infinitary algebras, Two finite embedding theorems for partial 3-quasigroups, Intersection preserving finite embedding theorems for partial quasigroups, Totally symmetric and semi-symmetric quasigroups have the intersection preserving finite embeddability property

Cites Work

• On embedding incomplete symmetric Latin squares
• Orthogonal Steiner systems
• Embedding partial idempotent Latin squares
• The completion of finite incomplete Steiner triple systems with applications to loop theory
• Finite partial cyclic triple systems can be finitely embedded
• Finite embedding theorems for partial Latin squares, quasi-groups, and loops
• Embedding Incomplete Latin Squares
• Finitely Presented Loops, Lattices, etc. are Hopfian
• Some Connections between Residual Finiteness, Finite Embeddability and the Word Problem
• The Word Problem for Abstract Algebras
• Embeddability and the Word Problem
• Unnamed Item