measures excision for Academic Article uri icon

abstract

  • Let B be a commutative ring, A a subring of B, and I an ideal of B contained in A. Excision holds if K 1 ( A , I ) {K_1}(A,I) and K 1 ( B , I ) {K_1}(B,I) are isomorphic. We show that the obstruction to excision holding is a subquotient of K 2 ( B / I 2 ) {K_2}(B/{I^2}) . We then use this obstruction to show that, if A and B are fixed, the excision problem for I has no bearing on the excision problem for ideals contained in I.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Geller, S. C., & Weibel, C. A.

citation count

  • 4

complete list of authors

  • Geller, Susan C||Weibel, Charles A

publication date

  • January 1980