Geodesic
Relations for relative Grothendieck groups of rings of finite representation type
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 61-65 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a ring $R$ of finite representation type the set of free generators is described for the group of relations of the relative Grothendieck group $K_0(R,F)$ corresponding to an additive subfunctor $F$ of the functor $\mathrm{Ext}^1_R$, which yields an extension to the absolute case of the corresponding results of Butler and Auslander. Bibliography: 8 titles. 
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     author = {A. I. Generalov},
     title = {Relations for relative {Grothendieck} groups of rings of finite representation type},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {61--65},
     year = {1995},
     volume = {227},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a7/}
}
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A. I. Generalov. Relations for relative Grothendieck groups of rings of finite representation type. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 61-65. http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a7/