10 citations · 34 across the 26 of their papers we have counts for
5 papers · 1 filter
Bottom complexes
Joseph Gubeladze
The bottom complex of a finite polyhedal pointed rational cone is the lattice polytopal complex of the compact faces of the convex hull of nonzero lattice points in the cone. The a…
Commutator automorphisms of formal power series rings
Joseph Gubeladze, Zaza Mushkudiani
For a big class of commutative rings R every continuous R-automorphism of R[[X_1,...,X_n]] with the identity linear part is in the commutator subgroup of Aut(R[[X_1,...,X_n]]). An…
Problems and algorithms for affine semigroups
Winfried Bruns, Joseph Gubeladze, Ngo Viet Trung
In this article we overview those aspects of the theory of affine semigroups and their algebras that have been relevant for our own research, and pose several open problems. Answer…
Divisorial linear algebra of normal semigroup rings
W. Bruns, J. Gubeladze
We investigate the minimal number of generators and the depth of divisorial ideals over normal semigroup rings. Such ideals are defined by the inhomogeneous systems of linear i…
Polytopal linear retractions
Winfried Bruns, Joseph Gubeladze
We investigate graded retracts of polytopal algebras (essentially the homogeneous rings of affine cones over projective toric varieties) as polytopal analogues of vector spaces. In…