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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 227, Pages 61–65 (Mi znsl4264)  
Relations for relative Grothendieck groups of rings of finite representation type

A. I. Generalov

Saint-Petersburg State University
Full-text PDF (220 kB)
Abstract: 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.
Received: 11.01.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 2, Pages 1119–1121
DOI: https://doi.org/10.1007/BF02355858
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. I. Generalov, “Relations for relative Grothendieck groups of rings of finite representation type”, Problems in the theory of representations of algebras and groups. Part 4, Zap. Nauchn. Sem. POMI, 227, POMI, St. Petersburg, 1995, 61–65; J. Math. Sci. (New York), 89:2 (1998), 1119–1121
Citation in format AMSBIB
\Bibitem{Gen95}
\by A.~I.~Generalov
\paper Relations for relative Grothendieck groups of rings of finite representation type
\inbook Problems in the theory of representations of algebras and groups. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 227
\pages 61--65
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374558}
\zmath{https://zbmath.org/?q=an:0898.16011|0894.16009}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 2
\pages 1119--1121
\crossref{https://doi.org/10.1007/BF02355858}
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