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, m, k) be a local ring in which 2 is a unit. Assume that every element of k has a square root...
AbstractLet (R,m) be a complete intersection, that is, a ring whose m-adic completion is the quotien...
AbstractA definition of a Cohen-Macaulay complex is given so that the existence of such a complex im...
AbstractLet A be a commutative Noetherian ring of Krull dimension n. Let I be a local complete inter...
AbstractLet A be a regular ring of dimension d (d≥3) containing an infinite field k. Let n be an int...
Let R be a 3-dimensional regular local ring. Let p be a dimension one prime of R. We are concerned w...
AbstractIn this paper the main result is that if R = A[X] is a polynomial ring over a Cohen-Macaulay...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
AbstractA commutative local ring is generally defined to be a complete intersection if its completio...
AbstractWe present a purely algebraic proof of the commutativity of the operation defined by interse...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
AbstractLet (R,m) be a complete intersection, that is, a local ring whose m-adic completion is the q...
We present examples that show that in dimension higher than one or codimension higher than two, ther...
We present examples which show that in dimension higher than one or codimension higher than two, the...
Let (R, m, k) be a local ring in which 2 is a unit. Assume that every element of k has a square root...
AbstractLet (R,m) be a complete intersection, that is, a ring whose m-adic completion is the quotien...
AbstractA definition of a Cohen-Macaulay complex is given so that the existence of such a complex im...
AbstractLet A be a commutative Noetherian ring of Krull dimension n. Let I be a local complete inter...
AbstractLet A be a regular ring of dimension d (d≥3) containing an infinite field k. Let n be an int...
Let R be a 3-dimensional regular local ring. Let p be a dimension one prime of R. We are concerned w...
AbstractIn this paper the main result is that if R = A[X] is a polynomial ring over a Cohen-Macaulay...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
AbstractA commutative local ring is generally defined to be a complete intersection if its completio...
AbstractWe present a purely algebraic proof of the commutativity of the operation defined by interse...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
AbstractLet (R,m) be a complete intersection, that is, a local ring whose m-adic completion is the q...
We present examples that show that in dimension higher than one or codimension higher than two, ther...
We present examples which show that in dimension higher than one or codimension higher than two, the...
Let (R, m, k) be a local ring in which 2 is a unit. Assume that every element of k has a square root...
AbstractLet (R,m) be a complete intersection, that is, a ring whose m-adic completion is the quotien...
AbstractA definition of a Cohen-Macaulay complex is given so that the existence of such a complex im...
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