-systems and -systems for quantum affinizations of quantum Kac-Moody algebras.
Tame homomorphisms of polytopal rings.
Tangent cones at Gorenstein singularities
Tate resolution and the structure of the exact local ring
Tate resolutions for commutative graded algebras over a local ring
Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules
Tensor complexes: multilinear free resolutions constructed from higher tensors
The most fundamental complexes of free modules over a commutative ring are the Koszul complex, which is constructed from a vector (i.e., a 1-tensor), and the Eagon-Northcott and Buchsbaum-Rim complexes, which are constructed from a matrix (i.e., a 2-tensor). The subject of this paper is a multilinear analogue of these complexes, which we construct from an arbitrary higher tensor. Our construction provides detailed new examples of minimal free resolutions, as well as a unifying view on a wide variety...
Tensor products of Clifford modules and linear maximal Cohen-Macaulay modules on quadrics
Tensor products of modules and the rigidity of Tor.
Tensor products of modules, rigidity and local cohomology.
Tensor products of symmetric functions over ℤ2
We calculate the homology and the cycles in tensor products of algebras of symmetric function over ℤ2
Ternary quartics and 3-dimensional commutative algebras.
Tertiary decomposition in Grothendieck categories
Testing flatness and computing rank of a module using syzygies
Using syzygies computed via Gröbner bases techniques, we present algorithms for testing some homological properties for submodules of the free module , where A = R[x₁,...,xₙ] and R is a Noetherian commutative ring. We will test if a given submodule M of is flat. We will also check if M is locally free of constant dimension. Moreover, we present an algorithm that computes the rank of a flat submodule M of and also an algorithm that computes the projective dimension of an arbitrary submodule...
Testing for Cotorsionness over Domains
Testing the logarithmic comparison theorem for free divisors.
The Abhyankar-Jung theorem for excellent henselian subrings of formal power series
Given an algebraically closed field K of characteristic zero, we prove the Abhyankar-Jung theorem for any excellent henselian ring whose completion is a formal power series ring K[[z]]. In particular, examples include the local rings which form a Weierstrass system over the field K.
The adcending chain condition for real ideas.
The algebraic structure of pseudomeadow
The purpose of this paper is to study the commutative pseudomeadows, the structure which is defined in the same way as commutative meadows, except that the existence of a multiplicative identity is not required. We extend the characterization of finite commutative meadows, given by I. Bethke, P. Rodenburg, and A. Sevenster in their paper (2015), to the case of commutative pseudomeadows with finitely many idempotents. We also extend the well-known characterization of general commutative meadows as...
The amalgamated duplication of a ring along a semidualizing ideal