The formal inverse and the Jacobian Conjecture
The formulas for the coefficients of the sum and product of p-adic integers with applications to Witt vectors
The fourteenth problem of Hilbert for polynomial derivations
We present some facts, observations and remarks concerning the problem of finiteness of the rings of constants for derivations of polynomial rings over a commutative ring k containing the field ℚ of rational numbers.
The fundamental constituents of iteration digraphs of finite commutative rings
For a finite commutative ring and a positive integer , we construct an iteration digraph whose vertex set is and for which there is a directed edge from to if . Let , where and is a finite commutative local ring for . Let be a subset of (it is possible that is the empty set ). We define the fundamental constituents of induced by the vertices which are of the form if , otherwise where U denotes the unit group of and D denotes the zero-divisor set of . We investigate...
The fundamental theorem for the projective line over commutative rings. (Short Communication).
The fundamental theorem for the projective line over commutative rings.
The Galois Cohomology of Pythagorean Fields.
The GCD property and irreducible quadratic polynomials.
The general structure of inverse polynomial modules
In this paper we compute injective, projective and flat dimensions of inverse polynomial modules as -modules. We also generalize Hom and Ext functors of inverse polynomial modules to any submonoid but we show Tor functor of inverse polynomial modules can be generalized only for a symmetric submonoid.
The generalized Kronecker function ring and the ring R(X).
The geometry of the local cohomology filtration in equivariant bordism.
The geometry of the set of characters iduced by valuations.
The Global Homological Dimension of Some Algebras of Differential Operators.
The Gorenstein Property Depends on Characteristic
The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties
The group of automorphisms of a commutative algebra.
The group of commutativity preserving maps on strictly upper triangular matrices
Let be the algebra of all strictly upper triangular matrices over a unital commutative ring . A map on is called preserving commutativity in both directions if . In this paper, we prove that each invertible linear map on preserving commutativity in both directions is exactly a quasi-automorphism of , and a quasi-automorphism of can be decomposed into the product of several standard maps, which extains the main result of Y. Cao, Z. Chen and C. Huang (2002) from fields to rings.
The group of divisibility of
The -vector of a Gorenstein toric ring of a compressed polytope.
The Heigth of Ideals and Regular Sequences.