Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Victor Ufnarovski"'
Autor:
Victor Ufnarovski
Publikováno v:
Computer Science Journal of Moldova, Vol 20, Iss 3(60), Pp 304-312 (2012)
We consider several simple combinatorial problems and discuss different ways to express them using polynomial equations and try to describe the \GB of the corresponding ideals. The main instruments are complete symmetric polynomials that help to exp
Externí odkaz:
https://doaj.org/article/44c41c8cdb8a44529655ab43e5e9e3b1
Autor:
Victor Ufnarovski
Publikováno v:
Computer Science Journal of Moldova, Vol 16, Iss 1(46), Pp 133-145 (2008)
We consider the possible ways of the homogenization of non-graded non-commutative algebra and show that it should be combined with the cancellation rule to get the mathematically adequate correspondence between graded and non-graded algebras.
Externí odkaz:
https://doaj.org/article/eb1f0c79d7a74a02b0d8646237df065d
Autor:
Svetlana Cojocaru, Victor Ufnarovski
Publikováno v:
Computer Science Journal of Moldova, Vol 9, Iss 3(27), Pp 369-377 (2001)
Non-commutative calculations are considered from the molecular computing point of view. The main idea is that one can get more advantage in using molecular computing for non-commutative computer algebra compared with a commutative one. The restrictio
Externí odkaz:
https://doaj.org/article/0b760cb230f64ca6bbb2ba8f45516165
Autor:
Svetlana Cojocaru, Victor Ufnarovski
Publikováno v:
Computer Science Journal of Moldova, Vol 16, Iss 1(46), Pp 3-3 (2008)
It is more than 10 years since we have published our first special issue devoted to the Computer Algebra. For us it was a starting point for the development of Computer Algebra in Moldova. Looking back we can say that this was a period during which w
Externí odkaz:
https://doaj.org/article/80b30f89622f4b429aa1096a90794a8f
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing. 33:751-789
We introduce the concept of subalgebra spectrum, Sp(A), for a subalgebra A of finite codimension in $$\mathbb {K}[x]$$ K [ x ] . The spectrum is a finite subset of the underlying field. We also introduce a tool, the characteristic polynomial of A, wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0589cad3ab66ae0b7dba5cc0b5c0a31f
https://doi.org/10.1007/s00200-022-00573-4
https://doi.org/10.1007/s00200-022-00573-4
Autor:
Amol Sasane, Victor Ufnarovski
Publikováno v:
J. Geom. Symmetry Phys. 53 (2019), 85-102
Let $R=(r_{ij})\in$ SO(3,${\mathbb{R}}$). We give several different proofs of the fact that the vector $$ V:=\Big( \displaystyle \frac{1}{r_{23}+r_{32}}, \displaystyle \frac{1}{r_{13}+r_{31}}, \displaystyle \frac{1}{r_{12}+r_{21}}\Big)^t $$ if it exi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c167011f87b89cf7d7c0eccaf025d4f
https://doi.org/10.7546/jgsp-53-2019-85-102
https://doi.org/10.7546/jgsp-53-2019-85-102
Autor:
Amol Sasane, Victor Ufnarovski
A geometric construction for the Poincare formula for relativistic addition of velocities in one dimension was given by Jerzy Kocik in "Geometric Diagram for Relativistic Addition of Velocities", American Journal of Physics, volume 80, page 737, 2012
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cbb0e3fea2949c17c630a5330d12007
Publikováno v:
Commutative Algebra, Singularities and Computer Algebra ISBN: 9781402014871
A resultant-type identity for univariate polynomials is proved and applied to characterization of SAGBI bases of subalgebras, generated by two polynomials. Besides a new condition for polynomials f(x) and g(x) to form a SAGBI basis, expressed in term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e3fd99292d2dbae7bd58d8cd3e152b9
https://doi.org/10.1007/978-94-007-1092-4_15
https://doi.org/10.1007/978-94-007-1092-4_15
Publikováno v:
Commutative Algebra, Singularities and Computer Algebra ISBN: 9781402014871
Bergman is a special-purpose system for computations in commutative and purely non-commutative graded algebra.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96c10bee9c536a0493c33e23214a5378
https://doi.org/10.1007/978-94-007-1092-4_4
https://doi.org/10.1007/978-94-007-1092-4_4
Publikováno v:
Computational Methods for Representations of Groups and Algebras ISBN: 9783034897402
Noncommutative algebras, defined by the generators and relations, are considered. The definition and main results connected with the Grobner bases, Hilbert series and Anick’s resolution are formulated. Special attention is paid to universal envelop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed1b69eadb81dd89c8367a539ac3a7e8
https://doi.org/10.1007/978-3-0348-8716-8_7
https://doi.org/10.1007/978-3-0348-8716-8_7