AbstractLet A be a commutative Noetherian ring of Krull dimension n. Let I be a local complete intersection ideal of height n. Suppose (A/I) is torsion in K0(A). It is proved that I is a set theoretic complete intersection if one of the following conditions holds: (1) n is two; (2) n is odd; (3) n⩾4 even, and A contains the field of rational numbers
Let R be a regular local ring and let R[T] be a polynomial algebra in one variable over R. In this p...
Abstract. Let (R;m; k) be a local ring in which 2 is a unit. Assume that every element of k has a sq...
We describe prime ideals of height 2 minimally generated by three elements in a Gorenstein, Nagata l...
AbstractLet A be a commutative Noetherian ring of Krull dimension n. Let I be a local complete inter...
Let R be a 3-dimensional regular local ring. Let p be a dimension one prime of R. We are concerned w...
AbstractA commutative local ring is generally defined to be a complete intersection if its completio...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
Let $A$ be a noetherian ring whose maximal spectrum has dimension at most 1. For instance, $A$ can b...
AbstractIn this paper, we study Hochschild homology, cyclic homology and K-theory of commutative alg...
Let R be a commutative ring, (f) an ideal of R, and E = K(f; R) the Koszul complex. We investigate t...
Briggs B, Iyengar SB, Letz JC, Pollitz J. Locally Complete Intersection Maps and the Proxy Small Pro...
AbstractLet A be a regular ring of dimension d (d≥3) containing an infinite field k. Let n be an int...
Let $(R,m)$ be commutative Noetherian local ring. It is shown that $R$ is Cohen-Macaulay ring if the...
AbstractLet (S,n) be a Noetherian local ring and let I=(f,g) be an ideal in S generated by a regular...
Let R be a regular local ring and let R[T] be a polynomial algebra in one variable over R. In this p...
Abstract. Let (R;m; k) be a local ring in which 2 is a unit. Assume that every element of k has a sq...
We describe prime ideals of height 2 minimally generated by three elements in a Gorenstein, Nagata l...
AbstractLet A be a commutative Noetherian ring of Krull dimension n. Let I be a local complete inter...
Let R be a 3-dimensional regular local ring. Let p be a dimension one prime of R. We are concerned w...
AbstractA commutative local ring is generally defined to be a complete intersection if its completio...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
Let $A$ be a noetherian ring whose maximal spectrum has dimension at most 1. For instance, $A$ can b...
AbstractIn this paper, we study Hochschild homology, cyclic homology and K-theory of commutative alg...
Let R be a commutative ring, (f) an ideal of R, and E = K(f; R) the Koszul complex. We investigate t...
Briggs B, Iyengar SB, Letz JC, Pollitz J. Locally Complete Intersection Maps and the Proxy Small Pro...
AbstractLet A be a regular ring of dimension d (d≥3) containing an infinite field k. Let n be an int...
Let $(R,m)$ be commutative Noetherian local ring. It is shown that $R$ is Cohen-Macaulay ring if the...
AbstractLet (S,n) be a Noetherian local ring and let I=(f,g) be an ideal in S generated by a regular...
Let R be a regular local ring and let R[T] be a polynomial algebra in one variable over R. In this p...
Abstract. Let (R;m; k) be a local ring in which 2 is a unit. Assume that every element of k has a sq...
We describe prime ideals of height 2 minimally generated by three elements in a Gorenstein, Nagata l...
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