The structure of \(\ell\)-group varieties
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Publication:1142235
DOI10.1007/BF02482885zbMath0439.06013OpenAlexW2059911854MaRDI QIDQ1142235
W. Charles Holland, Stephen H. McCleary, A. M. W. Glass
Publication date: 1980
Published in: Algebra Universalis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02482885
Lattices of varieties (08B15) Ordered groups (06F15) Products, amalgamated products, and other kinds of limits and colimits (08B25) Varieties of lattices (06B20)
Related Items (37)
Varieties of half lattice-ordered groups of monotonic permutations of chains ⋮ Quasi-varieties of solvable lattice-ordered groups ⋮ Varieties minimal over representable varieties of lattice-ordered groups ⋮ The product of finitely based varieties of lattice-ordered groups ⋮ Metabelian varieties of \(\ell\)-groups which contain no non-abelian o- groups ⋮ Product varieties of \(m\)-groups ⋮ Unnamed Item ⋮ On variety \(\mathcal{N}\) of normal valued \(m\)-groups ⋮ Varieties generated by unital abelian \(\ell\)-groups ⋮ On idempotents of semigroup varieties of \(m\)-groups ⋮ Suprema of classes of generalized Scrimger varieties of lattice ordered groups ⋮ The word problem in free normal valued lattice-ordered groups: A solution and practical shortcuts ⋮ Quasi-Engel varieties of lattice-ordered groups ⋮ Lattice-ordered groups which are constructed with the aid of right- ordered groups ⋮ Varieties of Automorphism Groups of Orders ⋮ The lex property of varieties of lattice ordered groups ⋮ Free products of lattice ordered groups ⋮ Automorphism groups of totally ordered sets: A retrospective survey ⋮ W. Charles Holland, 75th birthday ⋮ Quasi-varieties of lattice ordered groups ⋮ Continuum many top varieties of GMV-algebras and unital \(\ell \)-groups ⋮ Special-valued \(l\)-groups and Abelian covers ⋮ Infinite distributivity in the lattice of varieties of \(\ell\)-groups ⋮ Convexities of normal valued lattice ordered groups ⋮ Varieties of lattice ordered groups that contain no non-Abelian o-groups are solvable ⋮ Minimal Non-Metabelian Varieties of ℓ-Groups Which Contain No Nonabeliano-Groups ⋮ Unnamed Item ⋮ Varieties of lattice-ordered algebras ⋮ Varieties of nilpotent lattice-ordered groups ⋮ On the Scrimger varieties of lattice-ordered groups ⋮ On reversing the order of a lattice ordered group ⋮ Solvable and \(\ell\)-solvable \(\ell\)-groups ⋮ Varieties of \(\ell\)-groups with the identity \([x^ p,y^ p=e\) have finite bases] ⋮ On coverings in the lattice of \(\ell\)-varieties ⋮ Decompositions of universal algebras by idempotent algebras ⋮ The Free Lattice-Ordered Group Over a Nilpotent Group ⋮ Varieties of \(\ell\)-groups with infinite axiomatic rank
Cites Work
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- Torsion theory for lattice-ordered groups
- Closed Subgroups of Lattice-Ordered Permutation Groups
- The Largest Proper Variety of Lattice Ordered Groups
- Varieties of groups
- Uncountably many Varieties of Groups
- A Noncommutative Ordinally Simple Linearly Ordered Group
- An Algebraically Simple Ordered Group
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