AbstractWe show that under some assumptions the analogues of Hilbert's basis theorem and Cohen's theorem hold for the ∗-ideals in a commutative ring with radical operation ∗
This paper is an exposition of Hilbert Basis Theorem and Grobner Basis. We first recall some basis c...
The radical of an ideal has been studied not only in commutative rings, but also in ideals defined o...
AbstractLet R be a commutative ring with identity, and let S be an R-algebra. Let M denote the maxim...
In this paper, A will denote a commutative ring with identity. The notion of radical operations is a...
Hochster proved several criteria for the case when for a prime ideal P in a commutative Noetherian r...
AbstractGeneric linkage is used to compute a prime ideal such that the radical of the initial ideal ...
In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum...
This paper shows an algorithm to construct the Gröbner bases of radicals of zero-dimensional ideals....
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
The famous basis theorem of David Hilbert is an important theorem in commutative algebra. In particu...
Thesis (M.A.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authoriz...
When is an ideal of a ring radical or prime? By examining its generators, one may in many cases defi...
Abstract. Hochster proved several criteria for when for a prime ideal P in a commutative Noetherian ...
AbstractWe study the set of Cohen–Macaulay monomial ideals with a given radical. Among this set of i...
This thesis is a study of radical ideals in restricted domains of associative rings. The first cha...
This paper is an exposition of Hilbert Basis Theorem and Grobner Basis. We first recall some basis c...
The radical of an ideal has been studied not only in commutative rings, but also in ideals defined o...
AbstractLet R be a commutative ring with identity, and let S be an R-algebra. Let M denote the maxim...
In this paper, A will denote a commutative ring with identity. The notion of radical operations is a...
Hochster proved several criteria for the case when for a prime ideal P in a commutative Noetherian r...
AbstractGeneric linkage is used to compute a prime ideal such that the radical of the initial ideal ...
In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum...
This paper shows an algorithm to construct the Gröbner bases of radicals of zero-dimensional ideals....
Several aspects of the theory of radical classes in associative ring theory are investigated. In Ch...
The famous basis theorem of David Hilbert is an important theorem in commutative algebra. In particu...
Thesis (M.A.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authoriz...
When is an ideal of a ring radical or prime? By examining its generators, one may in many cases defi...
Abstract. Hochster proved several criteria for when for a prime ideal P in a commutative Noetherian ...
AbstractWe study the set of Cohen–Macaulay monomial ideals with a given radical. Among this set of i...
This thesis is a study of radical ideals in restricted domains of associative rings. The first cha...
This paper is an exposition of Hilbert Basis Theorem and Grobner Basis. We first recall some basis c...
The radical of an ideal has been studied not only in commutative rings, but also in ideals defined o...
AbstractLet R be a commutative ring with identity, and let S be an R-algebra. Let M denote the maxim...