V. A. Artamonov, “Projective modules over quantum polynomial algebras”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 261

Loading [MathJax]/jax/output/SVG/config.js

Russian Academy of Sciences. Sbornik. Mathematics

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Sb.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 2, Pages 261–269
DOI: https://doi.org/10.1070/SM1995v082n02ABEH003563 (Mi sm908)

This article is cited in 11 scientific papers (total in 11 papers)

Projective modules over quantum polynomial algebras

V. A. Artamonov

English version PDF (493 kB) Citations (11) Russian version article

References:

PDF

HTML

DOI: https://doi.org/10.1070/SM1995v082n02ABEH003563

Abstract: A multiparameter algebra of quantum polynomials with coefficients in an arbitrary division algebra is considered. It is shown that if the multiparameters are in general position, then projective modules of rank at least two over the algebra are free.

Received: 19.05.1993

Bibliographic databases:

UDC: 512.55

MSC: Primary 16S35, 16D40, 16S36, 16W30; Secondary 16E20, 17B37, 16P50, 19B10, 19A13

Language: English

Original paper language: Russian

Citation: V. A. Artamonov, “Projective modules over quantum polynomial algebras”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 261–269

Citation in format AMSBIB

\Bibitem{Art94}

\by V.~A.~Artamonov

\paper Projective modules over quantum polynomial algebras

\jour Russian Acad. Sci. Sb. Math.

\yr 1995

\vol 82

\issue 2

\pages 261--269

\mathnet{http://mi.mathnet.ru/eng/sm908}

\crossref{https://doi.org/10.1070/SM1995v082n02ABEH003563}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1300129}

\zmath{https://zbmath.org/?q=an:0849.16003}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RV83000001}

Linking options:

https://www.mathnet.ru/eng/sm908

https://doi.org/10.1070/SM1995v082n02ABEH003563

https://www.mathnet.ru/eng/sm/v185/i7/p3

This publication is cited in the following 11 articles:

Ashish Gupta, Umamaheswaran Arunachalam, “Gelfand–Kirillov dimensions of simple modules over twisted group algebras $k \ast A$”, Izv. Math., 86:4 (2022), 715–726
ASHISH GUPTA, “MODULES OVER QUANTUM Laurent POLYNOMIALS”, J. Aust. Math. Soc, 91:03 (2011), 323
Artamonov V., Wisbauer R., “Homological Properties of Quantum Polynomials”, Algebr. Represent. Theory, 4:3 (2001), 219–247
V. A. Artamonov, “Automorphisms of the skew field of rational quantum functions”, Sb. Math., 191:12 (2000), 1749–1771
Artamonov V., “General Quantum Polynomials”, Algebra, ed. Bahturin Y., Walter de Gruyter & Co, 2000, 35–48
V. A. Artamonov, “On projective modules over quantum polynomials”, Journal of Mathematical Sciences (New York), 93:2 (1999), 135
V. A. Artamonov, “General quantum polynomials: irreducible modules and Morita equivalence”, Izv. Math., 63:5 (1999), 847–880
V. A. Artamonov, “Serre's quantum problem”, Russian Math. Surveys, 53:4 (1998), 657–730
V. A. Artamonov, “Periodic modules over general quantum Laurent polynomials”, Math. Notes, 61:1 (1997), 9–15
V. A. Artamonov, “Modules over quantum polynomials”, Math. Notes, 59:4 (1996), 356–360
V. A. Artamonov, “Construction of modules over quantum polynomials”, Russian Math. Surveys, 50:6 (1995), 1256–1257

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	596
Russian version PDF:	161
English version PDF:	28
References:	96
First page:	3

Что такое QR-код?

Registration to the website

Logotypes