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
On radical-equivalent and zero-equivalent ideals
On Rank 4 Quadratic Spaces with Given Arf and Witt Invariants.
On Rao's theorems and the Lazarsfeld-Rao property
On reconstructing algebraic sets and ideals
We generalize some results on reconstructing sets to the case of ideals of 𝕜[X₁,...,Xₙ]. We show that reconstructing sets can be approximated by finite subsets having the property of reconstructing automorphisms of bounded degree.
On reconstruction of polynomial automorphisms
We extend results on reconstructing a polynomial automorphism from its restriction to the coordinate hyperplanes to some wider class of algebraic surfaces. We show that the algorithm proposed by M. Kwieciński in [K2] and based on Gröbner bases works also for this class of surfaces.
On reflexivity of representations of local Commutative Algebras
On relations of invariants for vector-valued forms.
On relative real holomorphy rings.
On ring derivations and quadratic functionals.
On ring theoretic lattice modules
On Rings admitting orderings and 2-primary chains of orderings of higher level.
On rings of constants of derivations in two variables in positive characteristic
Let k be a field of chracteristic p > 0. We describe all derivations of the polynomial algebra k[x,y], homogeneous with respect to a given weight vector, in particular all monomial derivations, with the ring of constants of the form , where .
On roots of polynomials with power series coefficients
We give a deepened version of a lemma of Gabrielov and then use it to prove the following fact: if h ∈ 𝕂[[X]] (𝕂 = ℝ or ℂ) is a root of a non-zero polynomial with convergent power series coefficients, then h is convergent.
On ruled fields
Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
On semicontinuity of ramification invariants in dimension 2.