6533b82ffe1ef96bd1294f88

RESEARCH PRODUCT

Hybrid bases for varieties of semigroups

Ewa GraczyńskaDietmar Schweigert

subject

Discrete mathematicsPure mathematicsAlgebra and Number TheoryLattice (order)ExponentSpecial classes of semigroupsElementary abelian groupAbelian groupCommutative propertyMathematicsArithmetic of abelian varieties

description

We consider the lower part of the lattice of varieties of semigroups. We present finite bases of hybrid identities for the varieties of normal bands, commutative bands and abelian groups of finite exponent. The variety A n,0 of abelian groups provides an example of a variety which has no finite base of hyperidentities (cf. [12]) but has a finite base of hybrid identities.

yearjournalcountryeditionlanguage
2003-12-01Algebra Universalis
https://doi.org/10.1007/s00012-003-1826-0