A variety of universal algebras is called a chain variety if its subvariety lattice is a chain. Non-group chain varieties of semigroups were completely classified by Sukhanov in 1982. Here we completely determine non-group chain varieties of monoids (referring to monoid varieties, we consider monoids as algebras with an associative binary operation and the nullary operation that fixes the identity element). Even though the lattice of all monoid varieties embeds into the lattice of all semigroup varieties, surprisingly, the classification of non-group chain varieties in the monoid case turns out to be much more complicated than in the case of semigroups.
机构:
Univ Stellenbosch, Dept Math Sci, Stellenbosch, South Africa
Univ Bremen, Dept Math, D-28359 Bremen, GermanyUniv Stellenbosch, Dept Math Sci, Stellenbosch, South Africa
机构:
Univ Rouen, Fac Sci & Tech, LITIS, Pl Emile Blondel, F-76821 Mont St Aignan, FranceUniv Rouen, Fac Sci & Tech, LITIS, Pl Emile Blondel, F-76821 Mont St Aignan, France
Goralcik, P.
Koubek, V.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Rouen, Fac Sci & Tech, LITIS, Pl Emile Blondel, F-76821 Mont St Aignan, FranceUniv Rouen, Fac Sci & Tech, LITIS, Pl Emile Blondel, F-76821 Mont St Aignan, France
Koubek, V.
Sichler, J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Rouen, Fac Sci & Tech, LITIS, Pl Emile Blondel, F-76821 Mont St Aignan, FranceUniv Rouen, Fac Sci & Tech, LITIS, Pl Emile Blondel, F-76821 Mont St Aignan, France