Geodesic
Algebraic $K$-theory as extraordinary homology theory on the category of associative rings with unity
Izvestiya. Mathematics , Tome 5 (1971) no. 4, pp. 859-887

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Algebraic $K$-theory can be constructed by means of the homotopy groups of the abstract simplicial structure on the group of invertible matrices $GL(A)$ of the ring $A$. This structure may be naturally taken as two-sidedly invariant. Of basic interest is the multiplication in the functor so obtained, which for different rings $A$ assumes different aspects. 
@article{IM2_1971_5_4_a7,
     author = {I. A. Volodin},
     title = {Algebraic $K$-theory as extraordinary homology theory on the category of associative rings with unity},
     journal = {Izvestiya. Mathematics },
     pages = {859--887},
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     volume = {5},
     number = {4},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_4_a7/}
}
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I. A. Volodin. Algebraic $K$-theory as extraordinary homology theory on the category of associative rings with unity. Izvestiya. Mathematics , Tome 5 (1971) no. 4, pp. 859-887. http://geodesic.mathdoc.fr/item/IM2_1971_5_4_a7/