On Dedekind domains in infinite algebraic extensions
On Dedekind's criterion and monogenicity over Dedekind rings.
On deformation method in invariant theory
In this paper we relate the deformation method in invariant theory to spherical subgroups. Let be a reductive group, an affine -variety and a spherical subgroup. We show that whenever is affine and its semigroup of weights is saturated, the algebra of -invariant regular functions on has a -invariant filtration such that the associated graded algebra is the algebra of regular functions of some explicit horospherical subgroup of . The deformation method in its usual form, as developed...
On deformations of pasting diagrams.
On delta sets and their realizable subsets in Krull monoids with cyclic class groups
Let M be a commutative cancellative monoid. The set Δ(M), which consists of all positive integers which are distances between consecutive factorization lengths of elements in M, is a widely studied object in the theory of nonunique factorizations. If M is a Krull monoid with cyclic class group of order n ≥ 3, then it is well-known that Δ(M) ⊆ {1,..., n-2}. Moreover, equality holds for this containment when each class contains a prime divisor from M. In this note, we consider the question of determining...
On differential rational invariants of finite subgroups of affine group.
On domains with ACC on invertible ideals
If is a domain with the ascending chain condition on (integral) invertible ideals, then the group of its invertible ideals is generated by the set of maximal invertible ideals. In this note we study some properties of and we prove that, if is a free group on , then is a locally factorial Krull domain.
On efficient generation of ideals.
On endomorphism algebras over admissible Dedekind domains
On endomorphisms of multiplication and comultiplication modules
Let be a ring with an identity (not necessarily commutative) and let be a left -module. This paper deals with multiplication and comultiplication left -modules having right -module structures.
On equimultiple ideals.
On equimultiple subschemes of a local scheme over a field of characteristic zero
On Euclidean Algorithms With Some Particular Properties
On exact modules over a commutative exact ring
On extensions of partial -operators
On -rings that are not formally real
Henriksen and Isbell showed in 1962 that some commutative rings admit total orderings that violate equational laws (in the language of lattice-ordered rings) that are satisfied by all totally-ordered fields. In this paper, we review the work of Henriksen and Isbell on this topic, construct and classify some examples that illustrate this phenomenon using the valuation theory of Hion (in the process, answering a question posed in [E]) and, finally, prove that a base for the equational theory of totally-ordered...
On Factorization into Prime Ideals
On finite algebras projectively represented by graded complete intersections.
On Finite Conductor Domains.
On finite principal ideal rings.