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| Field | Value |
| Title | Existence of unimodular elements in a projective module |
| Names |
KESHARI, MK
ZINNA, MA |
| Date Issued | 2017 (iso8601) |
| Abstract | (1) Let R be an affine algebra over an algebraically closed field of characteristic 0 with dim(R) = n. Let P be a projective A = R[T-1, . . . , T-k]-module of rank n with determinant L. Suppose I is an ideal of A of height n such that there are two surjections alpha : P ->-> I and phi : L circle plus A(n-1) ->-> I. Assume that either (a) k = 1 and n >= 3 or (b) k is arbitrary but n >= 4 is even. Then P has a unimodular element (see 4.1, 4.3). (2) Let R be a ring containing Q of even dimension n with height of the Jacobson radical of R >= 2. Let P be a projective R[T, T-1]-module of rank n with trivial determinant. Assume that there exists a surjection alpha : P ->-> I, where I subset of R[T, T-1] is an ideal of height n such that I is generated by n elements. Then P has a unimodular element (see 3.4). (C) 2017 Elsevier B.V. All rights reserved. |
| Genre | Article |
| Topic | EULER CLASS GROUP |
| Identifier | JOURNAL OF PURE AND APPLIED ALGEBRA,221(11)2805-2814 |