On p-Adic Power Series.
On polynomial mappings into spheres
On Polynomials and Exponential Polynomials in Several Complex Variables.
On polynomials whose fibres are irreducible with no critical points.
On prime divisors of the integral closure of a principal ideal.
On Prime Ideals in Representation Rings.
On prime modules over pullback rings
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime -modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.
On prime submodules and primary decomposition
We characterize prime submodules of for a principal ideal domain and investigate the primary decomposition of any submodule into primary submodules of
On Products in a Family of Cohomology Theories Associated to the Invariant Prime Ideals of ... (BP).
On products of additive functions.
On Projective Modules.
On Projective Resolutions of Frobenius Algebras and Gorenstein Rings.
On prolongations of rank one discrete valuations
Let be a valued field, where is a rank one discrete valuation. Let be its ring of valuation, its maximal ideal, and an extension of , defined by a monic irreducible polynomial . Assume that factors as a product of distinct powers of monic irreducible polynomials. In this paper a condition which guarantees the existence of exactly distinct valuations of extending is given, in such a way that it generalizes the results given in the paper “Prolongations of valuations to finite...
On proximity relations for valuations dominating a two-dimensional regular local ring.
The purpose of this paper is to define a new numerical invariant of valuations centered in a regular two-dimensional regular local ring. For this, we define a sequence of non-negative rational numbers δν = {δν(j)}j ≥ 0 which is determined by the proximity relations of the successive quadratic transformations at the points determined by a valuation ν. This sequence is characterized by seven combinatorial properties, so that any sequence of non-negative rational numbers having the above properties...
On Prüfer domains of polynomials.
On Prüfer v-Multiplication Domains.
On pseudo-prime multiplication modules over pullback rings
The purpose of this paper is to present a new approach to the classification of indecomposable pseudo-prime multiplication modules over pullback of two local Dedekind domains. We extend the definitions and the results given by Ebrahimi Atani and Farzalipour (2009) to more general cases.
On Quasi Divisor Theories and Systems of Valuations.
On quasi -ideals of commutative rings
Let be a commutative ring with a nonzero identity. In this study, we present a new class of ideals lying properly between the class of -ideals and the class of -ideals. A proper ideal of is said to be a quasi -ideal if is an -ideal of Many examples and results are given to disclose the relations between this new concept and others that already exist, namely, the -ideals, the quasi primary ideals, the -ideals and the -ideals. Moreover, we use the quasi -ideals to characterize some...
On quasi-projective uniserial modules