A CAYLEY THEOREM FOR THE MULTIPLICATIVE SEMIGROUP OF A FIELD

DOI10.1142/S021949881100566XzbMath1269.20055MaRDI QIDQ2885402

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Publication date: 23 May 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

binary representationCayley type theoremselementarily equivalent semigroupsleft groups of binary operationsmultiplicative semigroups of fieldsright invertible algebrastransitive-mode representations

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Connections between field theory and logic (12L99) Semigroup rings, multiplicative semigroups of rings (20M25) Representation of semigroups; actions of semigroups on sets (20M30) Other classical first-order model theory (03C68)

Related Items (5)

Artin theorem for semigroups ⋮ On the structure of medial divisible \(n\)-ary groupoids ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Boole–De Morgan Algebras and Quasi-De Morgan Functions

Cites Work

• Lattice ordered polynomial algebras
• BINARY REPRESENTATIONS OF ALGEBRAS WITH AT MOST TWO BINARY OPERATIONS: A CAYLEY THEOREM FOR DISTRIBUTIVE LATTICES
• A Cayley Theorem for Boolean Algebras
• On axioms of linear functions
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