When the Dual of an Ideal is a Ring.
Young Diagrams and Determinantal Varieties.
z⁰-Ideals and some special commutative rings
In a commutative ring R, an ideal I consisting entirely of zero divisors is called a torsion ideal, and an ideal is called a z⁰-ideal if I is torsion and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We prove that in large classes of rings, say R, the following results hold: every z-ideal is a z⁰-ideal if and only if every element of R is either a zero divisor or a unit, if and only if every maximal ideal in R (in general, every prime z-ideal) is a z⁰-ideal,...
Zero Estimates on Group Varieties I.
Zero-divisors of content algebras
In this article, we prove that in content extentions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of diameter of zero-divisor graph under content extensions.
Zum Nachweis arithmetischer Cohen-Macaulay Varietäten.
Zur Idealstruktur in Nichtstandardmodellen von Dedekindringen.
Zur mengentheoretischen Darstellung gewisser Primideale
Идеалы коммутативных колец
Кольца со свободной полугруппой обратимых идеалов
О бесконечных пересечениях примарных идеалов
О примальности изолированных -компонент