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A group is defined to be cofinitely Hopfian if every homomorphism → whose image is of finite index is an automorphism.Geometrically significant groups enjoying this pr...
Theory and applications of lattice point methods for binomial ideals
binomial ideal primary decomposition polynomial ring affine semigroup
2010/12/6
This survey of methods surrounding lattice point methods for binomial ideals begins with a leisurely treatment of the geometric combinatorics of binomial primary decomposition. It then proceeds to thr...
Primitive ideals in quantum Schubert cells: dimension of the strata
quantum Schubert cells: dimension strata s
2010/12/1
The aim of this paper is to study the representation theory of quantum Schu-bert cells. Let g be a simple complex Lie algebra. To each element w of the Weyl group W of g, De Concini, Kac and Procesi h...
More sublattices of the lattice of local clones
clone local closure algebraic lattice embedding
2010/11/30
We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at most countably many c...
Sums of Isometric Pairs of Lattices
FD-method Adomian decomposition method generating function method ordinary di erential equation Cauchy problem
2010/11/26
In the paper we o er a functional-discrete method for solving the Cauchy problem for the rst order ordinary di erential equations (ODEs). This method (FD-method) is in some sense similar to the Adomi...