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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 219–227 (Mi znsl5664)  
Parabolic factorization for a matrix ring

K. B. Tsvetkov

St. Petersburg State University, St. Petersburg, Russia
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Abstract: In the present paper, we prove Dennis–Vaserstein type decomposition (or a parabolic factorization) for some pairs of parabolic subsets $P_r$ and $\mathrm{MP}_s$ in the matrix ring $M(n,R)$ over Hermite ring $R$. We also formulate and prove analogous results for non-square matrices.
Key words and phrases: matrix ring, Hermite ring, stable rank, Dennis–Vaserstein decomposition.
Received: 13.05.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 3, Pages 479–484
DOI: https://doi.org/10.1007/s10958-014-2056-z
Bibliographic databases:
Document Type: Article
UDC: 512.741
Language: Russian
Citation: K. B. Tsvetkov, “Parabolic factorization for a matrix ring”, Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, POMI, St. Petersburg, 2013, 219–227; J. Math. Sci. (N. Y.), 202:3 (2014), 479–484
Citation in format AMSBIB
\Bibitem{Tsv13}
\by K.~B.~Tsvetkov
\paper Parabolic factorization for a~matrix ring
\inbook Problems in the theory of representations of algebras and groups. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 413
\pages 219--227
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5664}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3073066}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 3
\pages 479--484
\crossref{https://doi.org/10.1007/s10958-014-2056-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919949018}
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