1. Introduction. A central notion in commutative ring theory is that of a prime ideal. It seems reasonable, therefore, that the corresponding central notion in differential ring theory should be that of a prime differential ideal, and this has been the case historically [5], [8]. However, a maximal differential ideal in a differential ring may fail to be prime [ 1, page 310]. Moreover, if M is a maximal differzntial idea
summary:We introduce weakly strongly quasi-primary (briefly, wsq-primary) ideals in commutative ring...
AbstractA commutative ring A with unit is called a pm-ring if every prime ideal of A is contained in...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commuta...
Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime idea...
Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying...
We introduce differential primary decompositions for ideals in a commutative ring. Ideal membership ...
In this paper, we aim to extend the studies [M. R.. Alimoradi, R.. Rezaei and M. Rahimi, Some notes ...
In this paper we have obtained the following results for a dierential ring (asso-ciative or nonassoc...
2005 An affine differential scheme, X = diffspecR, is similar to an affine scheme, except we start w...
In these notes, we present various useful results concerning prime ideals. We characterize prime and...
AbstractFor a commutative differential algebra A, if p1 and p2 are prime ideals with p1 ⊂ p2, p1 ≠ p...
Abstract. Let R be a Noetherian Q-algebra (Q the field of rational num-bers) and δ be a derivation o...
In [3], Bratti and Takagi conjectured that a first order differential operator S=11 +...+ nn+ with 1...
Let be a group and is a ring. be a graded ring if and for all , . The elements of are called homogen...
summary:We introduce weakly strongly quasi-primary (briefly, wsq-primary) ideals in commutative ring...
AbstractA commutative ring A with unit is called a pm-ring if every prime ideal of A is contained in...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...
The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commuta...
Keigher showed that quasi-prime ideals in differential commutative rings are analogues of prime idea...
Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying...
We introduce differential primary decompositions for ideals in a commutative ring. Ideal membership ...
In this paper, we aim to extend the studies [M. R.. Alimoradi, R.. Rezaei and M. Rahimi, Some notes ...
In this paper we have obtained the following results for a dierential ring (asso-ciative or nonassoc...
2005 An affine differential scheme, X = diffspecR, is similar to an affine scheme, except we start w...
In these notes, we present various useful results concerning prime ideals. We characterize prime and...
AbstractFor a commutative differential algebra A, if p1 and p2 are prime ideals with p1 ⊂ p2, p1 ≠ p...
Abstract. Let R be a Noetherian Q-algebra (Q the field of rational num-bers) and δ be a derivation o...
In [3], Bratti and Takagi conjectured that a first order differential operator S=11 +...+ nn+ with 1...
Let be a group and is a ring. be a graded ring if and for all , . The elements of are called homogen...
summary:We introduce weakly strongly quasi-primary (briefly, wsq-primary) ideals in commutative ring...
AbstractA commutative ring A with unit is called a pm-ring if every prime ideal of A is contained in...
Abstract. Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime...