Smooth algebras and vanishing of Hochschild homology.
Smooth invariants and -graded modules over
It is shown that every -graded module over is a direct sum of cyclics. The invariants for such modules are exactly the smooth invariants of valuated abelian -groups.
Sobre anillos de polinomios que son anillos de Bézout.
Solutions of minus partial ordering equations over von Neumann regular rings
In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented. As applications, we give some necessary and sufficient conditions for the existence of solutions. It can be seen that some known results can be regarded as the special cases of this paper.
Solvable Normal Subgroups and Nilpotent Ideals in Matrix Rings.
Some algebraic applications of graded categorical group theory.
Some applications of a non-Archimedean analogue of Descartes' rule of signs
Some bases of the Stickelberger ideal
Some chain conditions on weak incidence algebras.
Some characterizations of regular modules.
Let M be a left module over a ring R. M is called a Zelmanowitz-regular module if for each x ∈ M there exists a homomorphism F: M → R such that f(x) = x. Let Q be a left R-module and h: Q → M a homomorphism. We call h locally split if for every x ∈ M there exists a homomorphism g: M → Q such that h(g(x)) = x. M is called locally projective if every epimorphism onto M is locally split. We prove that the following conditions are equivalent:(1) M is Zelmanowitz-regular.(2) every homomorphism into M...
Some characterizations of tilted algebras.
Some comments on injectivity and p-injectivity.
Some commutativity results for rings
Some commutativity results for rings
Some conditions for finiteness and commutativity of rings.
Some conditions for finiteness of a ring.
Some conditions on fixed rings.
Some constructions related to Rees matrix rings.
Some correspondences for Galois skew group rings.
Some counter-examples in the theory of the Galois module structure of wild extensions
Considering the ring of integers in a number field as a -module (where is a galois group of the field), one hoped to prove useful theorems about the extension of this module to a module or a lattice over a maximal order. In this paper it is show that it could be difficult to obtain, in this way, parameters which are independent of the choice of the maximal order. Several lemmas about twisted group rings are required in the proof.