$K_{i}$ of upper triangular matrix rings

Authors:
R. Keith Dennis and Susan C. Geller

Journal:
Proc. Amer. Math. Soc. **56** (1976), 73-78

MSC:
Primary 18F25

DOI:
https://doi.org/10.1090/S0002-9939-1976-0404392-5

MathSciNet review:
0404392

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Abstract | References | Similar Articles | Additional Information

Abstract: Standard techniques are used to compute ${K_i}(i = 0,1,2)$ of generalized triangular matrix rings.

- Hyman Bass,
*Algebraic $K$-theory*, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR**0249491** - R. Keith Dennis and Michael R. Stein,
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*$K_{2}$ of discrete valuation rings*, Advances in Math.**18**(1975), no. 2, 182โ238. MR**437620**, DOI https://doi.org/10.1016/0001-8708%2875%2990157-7 - John Milnor,
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*Surjective stability in dimension $0$ for $K_{2}$ and related functors*, Trans. Amer. Math. Soc.**178**(1973), 165โ191. MR**327925**, DOI https://doi.org/10.1090/S0002-9947-1973-0327925-8 - Michael R. Stein and R. Keith Dennis,
*$K_{2}$ of radical ideals and semi-local rings revisited*, Algebraic $K$-theory, II: โClassicalโ algebraic $K$-theory and connections with arithmetic (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Springer, Berlin, 1973, pp. 281โ303. Lecture Notes in Math. Vol. 342. MR**0406998** - Richard G. Swan,
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Keywords:
<!โ MATH ${K_2},{K_1},{K_0}$ โ> <IMG WIDTH="101" HEIGHT="38" ALIGN="MIDDLE" BORDER="0" SRC="images/img9.gif" ALT="${K_2},{K_1},{K_0}$">,
algebraic <IMG WIDTH="24" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$K$">-theory,
triangular matrix rings

Article copyright:
© Copyright 1976
American Mathematical Society