Martin Kuřil (1997)
Archivum Mathematicum
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A multiplication of e-varieties of regular -solid semigroups by inverse semigroup varieties is described both semantically and syntactically. The associativity of the multiplication is also proved.
P.G. Trotter, F.J. Pastijn (1988)
Semigroup forum
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L. Polák (1985)
Semigroup forum
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Martin Kuřil (1995)
Archivum Mathematicum
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We define semantically a partial multiplication on the lattice of all e–varieties of regular semigroups. In the case that the first factor is an e–variety of orthodox semigroups we describe our multiplication syntactically in terms of biinvariant congruences.
V.V. Rasin (1979)
Semigroup forum
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Avapa Chantasartrassmee, Jörg Koppitz (2005)
Discussiones Mathematicae - General Algebra and Applications
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he class of all M-solid varieties of a given type t forms a complete sublattice of the lattice ℒ(τ) of all varieties of algebrasof type t. This gives a tool for a better description of the lattice ℒ(τ) by characterization of complete sublattices. In particular, this was done for varieties of semigroups by L. Polák ([10]) as well as by Denecke and Koppitz ([4], [5]). Denecke and Hounnon characterized M-solid varieties of semirings ([3]) and M-solid varieties of groups were characterized...