Add to ORKGAbstract. In this paper we prove that if R is a prime ring and I is an R-disjoint ideal of an Ore extension R[x;σ, d], then I is closed and principal generated by a normal polynomial of minimal degree if and only if I contains a Sharma polynomial of minimal degree
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of m...
AbstractThe main theorem of this article is an extension of the generalized principal ideal theorem ...
In this paper we prove that if R is a prime ring and I is an R-disjoint ideal of an Ore extension R[...
Abstract In this paper we prove that if R is a prime ring and I is an R-disjoint ideal of an Ore ext...
In these notes we introduce minimal prime ideals and some of their applications. We prove Krull's pr...
3>. (2) Let R be a reduced semiring. Then a prime ideal P of R is minimal if and only if P = Ap whe...
Let $R$ be a right Noetherian ring which is also an algebra over $\mathbb{Q}$ ($\mathbb{Q}$ the fiel...
AbstractIf R is a local integral domain let R+ denote the integral closure of R in an algebraic clos...
is a cyclic R-module, then I + J = R. The rings R such that R/I ⊕R/J is a cyclic R-module for all di...
AbstractFor a module MR we compute the set of associated primes of M[x;σ] over the left Ore extensio...
Corrigendum to minimal prime ideals of Ore Extension over a commutative Dedekind domain and its appl...
A ring R is said to be prime if AB = 0 implies A= 0 or B = 0 for any (two sided) ideals A, B of R. I...
We give a self-contained proof of a general conjecture of G. Gras on principalization of ideals in a...
Abstract. Given a pair of commutative rings R ( T with the same identity, T is a minimal ring extens...
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of m...
AbstractThe main theorem of this article is an extension of the generalized principal ideal theorem ...
In this paper we prove that if R is a prime ring and I is an R-disjoint ideal of an Ore extension R[...
Abstract In this paper we prove that if R is a prime ring and I is an R-disjoint ideal of an Ore ext...
In these notes we introduce minimal prime ideals and some of their applications. We prove Krull's pr...
3>. (2) Let R be a reduced semiring. Then a prime ideal P of R is minimal if and only if P = Ap whe...
Let $R$ be a right Noetherian ring which is also an algebra over $\mathbb{Q}$ ($\mathbb{Q}$ the fiel...
AbstractIf R is a local integral domain let R+ denote the integral closure of R in an algebraic clos...
is a cyclic R-module, then I + J = R. The rings R such that R/I ⊕R/J is a cyclic R-module for all di...
AbstractFor a module MR we compute the set of associated primes of M[x;σ] over the left Ore extensio...
Corrigendum to minimal prime ideals of Ore Extension over a commutative Dedekind domain and its appl...
A ring R is said to be prime if AB = 0 implies A= 0 or B = 0 for any (two sided) ideals A, B of R. I...
We give a self-contained proof of a general conjecture of G. Gras on principalization of ideals in a...
Abstract. Given a pair of commutative rings R ( T with the same identity, T is a minimal ring extens...
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractLet I be a monomial ideal of a polynomial ring R=K[X1,…,Xr] and d(I) the maximal degree of m...
AbstractThe main theorem of this article is an extension of the generalized principal ideal theorem ...