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Generalized Associativity on Rectangular Quasigroups

Authors :
Aleksandar Krapež
Source :
Functional Equations — Results and Advances ISBN: 9781441952103
Publication Year :
2002
Publisher :
Springer US, 2002.

Abstract

A type of groupoid called a rectangular quasigroup is defined as a direct product of a left zero semigroup, a quasigroup and a right zero semigroup. We give three different axiom systems for these groupoids. Some important properties of rectangular quasigroups are derived, the solvability of the word problem among them.

Subjects

Subjects :
Mathematics::Group Theory
Pure mathematics
Mathematics::General Mathematics
Mathematics::Operator Algebras
Semigroup
Word problem (mathematics)
Axiom
Quasigroup
Associative property
Direct product
Computer Science::Cryptography and Security
Mathematics

Details

ISBN :
978-1-4419-5210-3
ISBNs :
9781441952103
Database :
OpenAIRE
Journal :
Functional Equations — Results and Advances ISBN: 9781441952103
Accession number :
edsair.doi...........3a7463ee4ab87f4083d9b4784e1dcb15

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