Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Leonid N. Vaserstein"'
Autor:
F. A. Arlinghaus, Leonid N. Vaserstein
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions Matemàtiques; Vol. 36, Núm. 2A (1992); p. 389-400
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
instname
Publicacions Matemàtiques; Vol. 36, Núm. 2A (1992); p. 389-400
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
We describe subgroups of GL2A which are normalized by elementary matrices for rings A satisfying the first stable range condition, Banach algebras A, von Neumann regular rings A, and other rings A.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::889cbd6440b6cb86739d9f27e1b50543
http://hdl.handle.net/2072/391492
http://hdl.handle.net/2072/391492
Autor:
Leonid N. Vaserstein
Publikováno v:
Journal of Algebra. 410:239-243
We prove that the stable rank of any pullback (fibre product) does not exceed the stable ranks of factors. We obtain also another result bounding the stable rank of a ring by the stable ranks of its factor rings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bb31fa8a0db8080d602d750b977becb
https://doi.org/10.1016/j.jalgebra.2014.04.008
https://doi.org/10.1016/j.jalgebra.2014.04.008
Publikováno v:
International Journal of Number Theory. :1261-1272
A Pythagorean (k, l)-tuple over a commutative ring A is a vector x = (xi) ∈ Ak+l, where k, l ∈ ℕ, k ≥ l which satisfies [Formula: see text]. In this paper, a polynomial parametrization of Pythagorean (k, l)-tuples over the ring F [t] is given
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17470613f1d9def44dd70ac5ddcd834a
https://doi.org/10.1142/s1793042110003496
https://doi.org/10.1142/s1793042110003496
Autor:
Leonid N. Vaserstein
Publikováno v:
Annals of Mathematics. 171:979-1009
A polynomial parametrization for the group of integer two-by-two matrices with determinant one is given, solving an old open problem of Skolem and Beurkers. It follows that, for many Diophantine equations, the integer solutions and the primitive solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb9d3d68bf596d7727412a48f80a9136
https://doi.org/10.4007/annals.2010.171.979
https://doi.org/10.4007/annals.2010.171.979
Publikováno v:
Journal of Computational and Applied Mathematics. 228:494-497
We show, as a generalization of prior results for R^2 and R^3, that for all n>=2 the only curves in R^n with rational arc length parameterizations are straight lines.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a17d19e6505cf727aad337ef3d6de351
https://doi.org/10.1016/j.cam.2008.09.022
https://doi.org/10.1016/j.cam.2008.09.022
Publikováno v:
Bulletin of the Korean Mathematical Society. 45:143-155
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff9fef1d8b42e2fa0d4fccdef9d7103c
https://doi.org/10.4134/bkms.2008.45.1.143
https://doi.org/10.4134/bkms.2008.45.1.143
Publikováno v:
Finite Fields and Their Applications. 13:648-658
Let F"q be a finite field of characteristic 2, with q elements. If q>=8 then every polynomial [email protected]?F"q[t] has a strict representation P=A^2+A+BC, i.e.:max(deg(A^2),deg(B^2),deg(C^2))3, or q=3 and P is distinct from some finite number of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c00b9f9e3db06dd313877a9be3c14f9a
https://doi.org/10.1016/j.ffa.2005.11.007
https://doi.org/10.1016/j.ffa.2005.11.007
Publikováno v:
Communications in Algebra. 34:4119-4130
Let A be a local commutative principal ideal ring. We study the double coset space of GL(n,A) with respect to the subgroup of upper triangular matrices. Geometrically, these cosets describe the relative position of two full flags of free primitive su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eab68037e3ccda405143615f36c8a2c
https://doi.org/10.1080/00927870600876250
https://doi.org/10.1080/00927870600876250
Autor:
Rachel Gar-el, Leonid N. Vaserstein
Publikováno v:
Journal of Number Theory. 94(2):219-223
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0392175eb7763b3b8d2f3ff0abaa8c71
Autor:
Leonid N. Vaserstein
Publikováno v:
Journal of Number Theory. 81:351-358
Let F[x] be the polynomial ring in one variable x with coefficients in a field F. For a nonzero polynomial a in F[x], we denote by deg(a) its degree and by N(a) the number of zeros of a in an algebraic closure F of F whose multiplicity is not divisib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff83a6a2dfc0cf0f582d38cbf18a6f86
https://doi.org/10.1006/jnth.1999.2485
https://doi.org/10.1006/jnth.1999.2485