A. A. Khusainov, “On the global dimension of the abelian group valued diagrams category over a totally ordered set”, Fundam. Prikl. Mat., 4:2 (1998), 717

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Fundamentalnaya i Prikladnaya Matematika, 1998, Volume 4, Issue 2, Pages 717–723 (Mi fpm313)

On the global dimension of the abelian group valued diagrams category over a totally ordered set

A. A. Khusainov

Komsomolsk-on-Amur State Technical University

Full-text PDF (357 kB)

Abstract: In this paper we shall calculate the global dimension of the category of functors from a totally ordered set to the category of abelian groups. We prove that for the totally ordered set of real numbers this global dimension equals 3. This answers a question of H. Brune.

Received: 01.03.1997

Bibliographic databases:

UDC: 512.66

Language: Russian

Citation: A. A. Khusainov, “On the global dimension of the abelian group valued diagrams category over a totally ordered set”, Fundam. Prikl. Mat., 4:2 (1998), 717–723

Citation in format AMSBIB

\Bibitem{Khu98}

\by A.~A.~Khusainov

\paper On the~global dimension of the~abelian group valued diagrams category over a totally ordered set

\jour Fundam. Prikl. Mat.

\yr 1998

\vol 4

\issue 2

\pages 717--723

\mathnet{http://mi.mathnet.ru/fpm313}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1801184}

\zmath{https://zbmath.org/?q=an:0960.18007}

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https://www.mathnet.ru/eng/fpm313

https://www.mathnet.ru/eng/fpm/v4/i2/p717

Citing articles in Google Scholar: Russian citations, English citations
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