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Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers
Boundary quotients Toeplitz algebra affine semigroup natural numbers
2010/12/8
We study the Toeplitz algebra T (N ⋊ N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...
Modular and lower-modular elements of lattices of semigroup varieties
Semigroup variety lattice of varieties commutative variety
2010/12/3
The paper contains three main results. First, we show that if a commutative semigroup variety is a modular element of the lattice Com of all commutative semigroup varieties then it is either the varie...