Embedding the dual of \(\Pi^\infty\) in the lattice of equational classes of semigroups.

DOI10.1007/BF02944986zbMath0227.08006MaRDI QIDQ2549339

Stanley N. Burris, Evelyn Nelson

Publication date: 1971

Published in: Algebra Universalis (Search for Journal in Brave)

Mathematics Subject Classification ID

Lattices of varieties (08B15) Semigroups (20M99)

Related Items

A perspective on algebraic representations of lattices ⋮ Repetition-free words ⋮ A property of the lattice of equational theories ⋮ On the structure and extendibility of \(k\)-power free words ⋮ An equational logic sampler ⋮ Which graphs allow infinite nonrepetitive walks? ⋮ Special elements of the lattice of monoid varieties ⋮ Obituary: Evelyn M. Nelson ⋮ Non-repetitive words: Ages and essences ⋮ Covering relation in the language of mono-unary algebras with at most one constant symbol ⋮ Congruences, equational theories and lattice representations ⋮ MINIMAL SEMIGROUPS GENERATING VARIETIES WITH COMPLEX SUBVARIETY LATTICES ⋮ Growth problems for avoidable words ⋮ Bounded and well-placed theories in the lattice of equational theories ⋮ Proofs of definability of some varieties and sets of varieties of semigroups. ⋮ COMBINATORIAL REES–SUSHKEVICH VARIETIES ARE FINITELY BASED ⋮ Chain varieties of monoids ⋮ Structural diversity in the lattice of equational theories ⋮ Varieties of monoids with complex lattices of subvarieties ⋮ Further properties of lattices of equational theories ⋮ A field guide to equational logic ⋮ Covering relation for equational theories of commutative semigroups ⋮ Open questions related to the problem of Birkhoff and Maltsev ⋮ Lattice-theoretic decision problems in universal algebra ⋮ Intervals in the lattice of varieties ⋮ On the lattice of overcommutative varieties of monoids ⋮ Lattices of semigroup varieties ⋮ Cancellable elements of the lattices of varieties of semigroups and epigroups ⋮ Non-Specht variety generated by an involution semigroup of order five ⋮ Covering in the lattice of equational theories and some properties of term finite theories ⋮ The lattice of varieties of monoids ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equational classes of modular lattices
• Bases for equational theories of semi-groups
• The lattice of equational classes of idempotent semigroups
• Identities in Finite Partition Lattices
• Equational Bases for Lattice Theories.
• The Lattice of Equational Classes of Algebras with One Unary Operation