The finite basis property for varieties of semigroups

DOI10.1007/BF01158553zbMath0692.20048MaRDI QIDQ583378

Mikhail V. Volkov

Publication date: 1989

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finite semigroupsfull transformation semigroupssemigroups of binary relationsinfinitely based varietiesmultiplicative semigroups of finite simple rings

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (18)

On the finite basis problem for the monoids of partial extensive injective transformations. ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ The finite basis problem in the pseudovariety joins of aperiodic semigroups with groups ⋮ Finite basis problem for semigroups of order six ⋮ Minimal non-finitely based semigroups. ⋮ Finite basis problem for 2-testable monoids. ⋮ COMBINATORIAL REES–SUSHKEVICH VARIETIES ARE FINITELY BASED ⋮ On the variety generated by all semigroups of order three. ⋮ A minimal nonfinitely based semigroup whose variety is polynomially recognizable. ⋮ A sufficient condition for the non-finite basis property of semigroups. ⋮ Equational theories of unstable involution semigroups ⋮ Bases of identities for semigroups of bounded rank transformations of a set. ⋮ Small semigroups generating varieties with continuum many subvarieties. ⋮ Non-finitely based monoids. ⋮ On identity bases of epigroup varieties ⋮ Non-Specht variety generated by an involution semigroup of order five ⋮ On the finite basis problem for the variety generated by all \(n\)-element semigroups. ⋮ Finite basis problem for the variety generated by all monoids of order five

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The finite basis question for semigroups of order less than six
• A note on varieties of semiprime rings with semigroup identities
• On groups in varieties of semigroups
• Bases for equational theories of semi-groups
• Varieties of groups
• A Remark on Varieties of Lattices and Semigroups

This page was built for publication: The finite basis property for varieties of semigroups