A theorem on normal flatness
A Theorem on Solutions of Analytic Equations with Applications to Deformations of Complex Structures.
A theory of multiplicity for multiplictive filtrations.
A two-dimensional domain whose integral closure is not t-linked.
A uniform Artin-Rees theorem and Zariski's main lemma on holomorphic functions.
A “-operation free” approach to Prüfer -multiplication domains.
A variant theory for the Gorenstein flat dimension
This paper discusses a variant theory for the Gorenstein flat dimension. Actually, since it is not yet known whether the category (R) of Gorenstein flat modules over a ring R is projectively resolving or not, it appears legitimate to seek alternate ways of measuring the Gorenstein flat dimension of modules which coincide with the usual one in the case where (R) is projectively resolving, on the one hand, and present nice behavior for an arbitrary ring R, on the other. In this paper, we introduce...
A weakening of the euclidean property for integral domains and applications to algebraic number theory. II.
A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
Abelian extensions of an absolutely unramified local field with general residue field.
Abelian group pairs having a trivial coGalois group
Torsion-free covers are considered for objects in the category Objects in the category are just maps in -Mod. For we find necessary and sufficient conditions for the coGalois group associated to a torsion-free cover, to be trivial for an object in Our results generalize those of E. Enochs and J. Rado for abelian groups.
Abelian groups which have trivial absolute coGalois group
In this article we characterize those abelian groups for which the coGalois group (associated to a torsion free cover) is equal to the identity.
Abelian Groups with an Endomorphism with Irreducible minimum Polynomial
Abelian splitting of division algebras of prime degrees.
Abelsche Galoiserweiterungen von R[X].
Abhyankar places admit local uniformization in any characteristic
Abhyankar-Moh property and unique affine embeddings.
About G-rings
In this paper, we are concerned with G-rings. We generalize the Kaplansky’s theorem to rings with zero-divisors. Also, we assert that if is a ring extension such that for some regular element of , then is a G-ring if and only if so is . Also, we examine the transfer of the G-ring property to trivial ring extensions. Finally, we conclude the paper with illustrative examples discussing the utility and limits of our results.
About Nagata Rings.
About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces.