The wreath product of atoms of the lattice of semigroup varieties
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Publication:3530546
DOI10.1090/S0077-1554-07-00166-5zbMath1160.20058MaRDI QIDQ3530546
Publication date: 20 October 2008
Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)
semigroup varietiessemigroup identitiesfinitely based varietiesfinite bases of identitiesfinitely generated varietieswreath products of semigroupssemidirect products of semigroups
Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Extensions, wreath products, and other compositions of groups (20E22) Equational classes, universal algebra in model theory (03C05)
Related Items (4)
A survey on varieties generated by small semigroups and a companion website ⋮ On the lattice of subvarieties of the wreath product of the variety of semilattices and the variety of semigroups with zero multiplication ⋮ Once more on the lattice of subvarieties of the wreath product of the variety of semilattices and the variety of semigroups with zero multiplication ⋮ Join irreducible semigroups
Cites Work
- Categories as algebra: An essential ingredient in the theory of monoids
- On semidirect products of two finite semilattices
- Semidirectly closed pseudovarieties of locally trivial semigroups
- On the varieties of Cliffordian semigroups
- On iterated semidirect products of finite semilattices
- Varieties preserved under wreath products
- On pseudovarieties
- On the lattice of varieties of completely simple semigroups
- Semidirect products of pseudovarieties from the universal algebraist's point of view
- The lattice of semigroup varieties
- SOME REMARKS ON VARIETIES OF GROUPS
- The wreath product of atoms of a lattice of semigroup varieties
- The monoid of semigroup varieties relative to the wreath product
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