If R is a complete discrete valuation ring, then every quadratic space over R[T] is extended from R. We here show by an example that a corresponding result for higher-dimensional complete regular local rings is not valid
AbstractWe study zero-dimensional valuations dominating a regular local ring of dimension n≥2. For t...
A~tract. Given an associative ring A, let asr(A) denote the absolute stable range of A, as defined i...
AbstractLet R be a regular noetherian local ring of dimension n≥2 and (Ri)≡R=R0⊂R1⊂R2⊂⋯⊂Ri⊂⋯ be a se...
It is proved that a quadratic space over the polynomial extension of a global field K is extended fr...
Let R be a regular local ring of dimension d ≥ 2. To a non-divisorial valuation V that dominates R, ...
Let A be a complete excellent local domain of Krull dimension 2 and K its field of fractions. We fur...
AbstractLet R be a regular noetherian local ring and let V be the ring of a zero-dimensional valuati...
We prove that a quadratic A[T]-module Q with Witt index (Q/TQ)⩾d, where d is the dimension of the eq...
AbstractA commutative ring A has quadratic stable range 1 (qsr(A) = 1) if each primitive binary quad...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
Chan, WK (reprint author), Wesleyan Univ, Dept Math & Comp Sci, Middletown, CT 06459 USALet o be the...
AbstractIn Seminormality in Power Series Rings, Brewer and Nichols ask whether Rrcd seminormal impli...
Abstract. We introduce the notion of nilpotent p.p. rings, and prove that the nilpotent p.p. conditi...
Let R be an excellent local ring, then there exists a non-negative integer N and a sequence of quadr...
Abstract.For two commutative quadratic extensions over a commutative ring,if the trace forms are iso...
AbstractWe study zero-dimensional valuations dominating a regular local ring of dimension n≥2. For t...
A~tract. Given an associative ring A, let asr(A) denote the absolute stable range of A, as defined i...
AbstractLet R be a regular noetherian local ring of dimension n≥2 and (Ri)≡R=R0⊂R1⊂R2⊂⋯⊂Ri⊂⋯ be a se...
It is proved that a quadratic space over the polynomial extension of a global field K is extended fr...
Let R be a regular local ring of dimension d ≥ 2. To a non-divisorial valuation V that dominates R, ...
Let A be a complete excellent local domain of Krull dimension 2 and K its field of fractions. We fur...
AbstractLet R be a regular noetherian local ring and let V be the ring of a zero-dimensional valuati...
We prove that a quadratic A[T]-module Q with Witt index (Q/TQ)⩾d, where d is the dimension of the eq...
AbstractA commutative ring A has quadratic stable range 1 (qsr(A) = 1) if each primitive binary quad...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
Chan, WK (reprint author), Wesleyan Univ, Dept Math & Comp Sci, Middletown, CT 06459 USALet o be the...
AbstractIn Seminormality in Power Series Rings, Brewer and Nichols ask whether Rrcd seminormal impli...
Abstract. We introduce the notion of nilpotent p.p. rings, and prove that the nilpotent p.p. conditi...
Let R be an excellent local ring, then there exists a non-negative integer N and a sequence of quadr...
Abstract.For two commutative quadratic extensions over a commutative ring,if the trace forms are iso...
AbstractWe study zero-dimensional valuations dominating a regular local ring of dimension n≥2. For t...
A~tract. Given an associative ring A, let asr(A) denote the absolute stable range of A, as defined i...
AbstractLet R be a regular noetherian local ring of dimension n≥2 and (Ri)≡R=R0⊂R1⊂R2⊂⋯⊂Ri⊂⋯ be a se...
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