summary:Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely that where the finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
This paper is concerned with ideals in a commutative Noetherian ring R of prime characteristic. The ...
We investigate the behavior of standard bases (in the sense of Hironaka and Grauert) for ideals in r...
summary:Among reduced Noetherian prime characteristic commutative rings, we prove that a regular rin...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
Abstract. This paper is concerned with ideals in a commutative Noetherian ring R of prime char-acter...
Abstract. Let Q = (a1, a2, · · · , as) ( ( A) be an ideal in a Noetherian local ring A. Then the ...
Abstract. For a regular ideal having a principal reduction in a Noetherian ring we consider the stru...
Let R be a 3-dimensional regular local ring. Let p be a dimension one prime of R. We are concerned w...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
It is proved that a noetherian commutative local ring A containing a field is regular if there is a ...
A ring is called an r-Noetherian ring if every regular ideal is finitely generated. Let R be an r-No...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
AbstractThis paper is devoted to the study of smash products R#U(g) where R is a Noetherian algebra ...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
This paper is concerned with ideals in a commutative Noetherian ring R of prime characteristic. The ...
We investigate the behavior of standard bases (in the sense of Hironaka and Grauert) for ideals in r...
summary:Among reduced Noetherian prime characteristic commutative rings, we prove that a regular rin...
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n ≥...
Abstract. This paper is concerned with ideals in a commutative Noetherian ring R of prime char-acter...
Abstract. Let Q = (a1, a2, · · · , as) ( ( A) be an ideal in a Noetherian local ring A. Then the ...
Abstract. For a regular ideal having a principal reduction in a Noetherian ring we consider the stru...
Let R be a 3-dimensional regular local ring. Let p be a dimension one prime of R. We are concerned w...
summary:When $S$ is a polynomial ring or more generally a standard graded algebra over a field $K$, ...
It is proved that a noetherian commutative local ring A containing a field is regular if there is a ...
A ring is called an r-Noetherian ring if every regular ideal is finitely generated. Let R be an r-No...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
AbstractThis paper is devoted to the study of smash products R#U(g) where R is a Noetherian algebra ...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
This paper is concerned with ideals in a commutative Noetherian ring R of prime characteristic. The ...
We investigate the behavior of standard bases (in the sense of Hironaka and Grauert) for ideals in r...
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