On A Combinatorial Problem Connected withFactorizations
On a lifting problem for principal Dedekind domains
On Armendariz rings.
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 commutative principal ideal semigroup rings.
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 Finite Conductor Domains.
On finitely generated multiplication ideals in commutative rings
On Ideal Theory in High Prufer Domains.
On locally divided integral domains and CPI-overrings.
On prime divisors of the integral closure of a principal ideal.
On prime modules over pullback rings
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime -modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.
On Prüfer domains of polynomials.
On Prüfer v-Multiplication Domains.
On Quasi Divisor Theories and Systems of Valuations.