On a Retract of an Integral Domain.
On a Special Class of Non Complete Webs
In this article, we introduce a special class of non complete webs, the NN-webs. We also study the algebraic and geometric properties of these webs.
On a theorem by Kronecker.
On a theorem of F. S. Macaulay on colon ideals.
On a theorem of Fröberg and saturated graphs.
On abelian separable extensions and Galois sets of rings
On algebraic closures.
This is a description of some different approaches which have been taken to the problem of generalizing the algebraic closure of a field. Work surveyed is by Enoch and Hochster (commutative algebra), Raphael (categories and rings of quotients), Borho (the polynomial approach), and Carson (logic).Later work and applications are given.
On Almost Complete Intersections.
On almost discrete space
Let be the ring of real continuous functions on a completely regular Hausdorff space. In this paper an almost discrete space is determined by the algebraic structure of . The intersection of essential weak ideal in is also studied.
On almost-free modules over complete discrete valuation rings
On approximate roots of a polynomial.
On Armendariz rings.
On Artin's Conjecture and Euclid's Algorithm in Global Fields.
On associated and attached prime ideals of certain modules
Primary and secondary functors have been introduced in [2] and applied to extend some results concerning asymptotic prime ideals. In this paper, the theory of primary and secondary functors is developed and examples of non-exact primary and non-exact secondary functors are presented. Also, as an application, the sets of associated and of attached prime ideals of certain modules are determined.
On automorphisms of Weyl algebra
On Bhargava rings
Let be an integral domain with the quotient field , an indeterminate over and an element of . The Bhargava ring over at is defined to be . In fact, is a subring of the ring of integer-valued polynomials over . In this paper, we aim to investigate the behavior of under localization. In particular, we prove that behaves well under localization at prime ideals of , when is a locally finite intersection of localizations. We also attempt a classification of integral domains ...
On binomial set-theoretic complete intersections in characteristic p.
On block irreducible forms over Euclidean domains.
On Border Basis and Gröbner Basis Schemes.
On Buchsbaum type modules and the annihilator of certain local cohomology modules
We consider the annihilator of certain local cohomology modules. Moreover, some results on vanishing of these modules will be considered.