On a theorem of Fröberg and saturated graphs.
On almost-free modules over complete discrete valuation rings
On Armendariz rings.
On Artin's Conjecture and Euclid's Algorithm in Global Fields.
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 Certain Numbers Associated to Isolated Critical Points.
On chains of centered valuations.
On commutative FGI-Rings.
On commutative principal ideal semigroup rings.
On commutative rings whose prime ideals are direct sums of cyclics
In this paper we study commutative rings whose prime ideals are direct sums of cyclic modules. In the case is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that for a local ring , the following statements are equivalent: (1) Every prime ideal of is a direct sum of cyclic -modules; (2) where is an index set and is a principal ideal ring for each ; (3) Every prime ideal of is a direct sum of at most...
On composition of formal power series.
On constructing resolutions over the polynomial algebras.
On coverings of almost Dedekind domains
On c-semigroups
On Dedekind domains in infinite algebraic extensions
On Dedekind's criterion and monogenicity over Dedekind rings.
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 endomorphism algebras over admissible Dedekind domains
On Euclidean Algorithms With Some Particular Properties
On Finite Conductor Domains.