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K1 of Twisted Rings of Polynomials |
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| Authors: | Bernard Badzioch |
| Institution: | (1) Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, U.S.A. and;(2) Department of Mathematics, Warsaw University, ul. Banacha 2, Warsaw, Poland |
| Abstract: | We prove that for an arbitrary endomorphism  of a ring R the group K1(Rt]) splits into the direct sum of K1(R) and Ñil (r;). Moreover, for any such R and Ñil (R; ) is isomorphic to Ñil (R ; ) for some ring R with : R  R – an isomorphism. |
| Keywords: | Mathematics Subject Classification (1991): 19B99 lower algebraic K– theory twisted ring of polynomials Nil |
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