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$$SK_ 1$$ of an interesting principal ideal domain. (English) Zbl 0467.18004

##### MSC:
 18F25 Algebraic $$K$$-theory and $$L$$-theory (category-theoretic aspects) 37D15 Morse-Smale systems 18F30 Grothendieck groups (category-theoretic aspects) 13D15 Grothendieck groups, $$K$$-theory and commutative rings 16E20 Grothendieck groups, $$K$$-theory, etc.
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##### References:
 [1] Bass, H., Algebraic K-theory, (1968), Benjamin New York · Zbl 0174.30302 [2] Bass, H., The Grothendieck group of the category of abelian group automorphisms of finite order, (1979), Columbia University, Preprint [3] H. Bass, Lenstra’s calculations of G0(R[π]), and applications to Morse-Smale diffeomorphisms in, Orders and their applications, Springer Lectures Notes (to appear). [4] J. Franks and M. Shub, The existence of Morse-Smale diffeomorphisms, Topology (to appear). · Zbl 0472.58013 [5] Grayson, D., The K-theory of endomorphisms, J. algebra, 48, 439-446, (1977) · Zbl 0413.18010 [6] Lenstra, H.W., Grothendieck groups of abelian group rings, J. pure appl. algebra, 20, 173-193, (1981), (this issue). · Zbl 0467.16016 [7] Smale, S., Differentiable dynamical systems, Bull. AMS, 73, 747-817, (1967) · Zbl 0202.55202 [8] Shub, M.; Sullivan, D., Homology theory and dynamical systems, Topology, 14, 109-132, (1975) · Zbl 0408.58023 [9] Quillen, D., Higher algebraic K-theory I, () · Zbl 1198.19001
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