NILPOTENT LINEAR SEMIGROUPS

DOI10.1142/S0218196706002913zbMath1118.20053MaRDI QIDQ5470162

Eric Jespers, David M. Riley

Publication date: 29 May 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

adjoint semigroupsnilpotent algebrasfree monoidssemigroup identitieslinear semigroupsnilpotence conditionsweakly Mal'cev nilpotent semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Varieties and pseudovarieties of semigroups (20M07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Nilpotent groups (20F18)

Related Items (6)

The rank of variants of nilpotent pseudovarieties ⋮ On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation ⋮ The non-nilpotent graph of a semigroup. ⋮ A DESCRIPTION OF A CLASS OF FINITE SEMIGROUPS THAT ARE NEAR TO BEING MAL'CEV NILPOTENT ⋮ Engel varieties of associative rings and the number of Mersenne primes ⋮ Finite semigroups that are minimal for not being Malcev nilpotent

Cites Work

• Nilpotence and local nilpotence of linear groups
• Mal'cev nilpotent algebras
• Nilpotent semigroups and semigroup algebras
• Combinatorial conditions in residually finite groups. II
• Engel varieties of associative rings and the number of Mersenne primes
• Generalised Tits alternative for linear semigroups
• A theorem on finitely generated hyperabelian groups
• On nilpotency and residual finiteness in semigroups
• Associative algebras satisfying a semigroup identity
• Associative rings satisfying the Engel condition
• Conditions of quasi-nilpotency in certain varieties of groups
• Nilpotent semigroups of matrices
• Associative rings whose adjoint semigroup is locally nilpotent

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