finsler geometry, hypercomplex numbers and physics
Ðóññêèé
HOME | ABOUT | JOURNAL | ARTICLES | POLYNUMBERS | ALL SECTIONS | DISCUSSION | LOGIN
SECTIONS
Discussion
Temporary
nice
News
All articles
Journal
Polynumbers
Archive
Books
Finsler Prize
Prizes & Competitions
Institute
Moscow, FERT-2019
Moscow, FERT-2018
Murom, FERT-2017
Murom, FERT-2016
Murom, FERT-2015
Brasov FERT-2014
Debrecen FERT-2013
Roger Penrose - 2013
Moscow, FERT-2012
Braşov FERT-2011
Moscow FERT-2010
Moscow FERT-2009
Cairo FERT-2008
Moscow FERT-2007
Cairo FERT-2006
FinslerSchool "Wood Lake"
Conferences
Seminars
Films
Presentations
Foto
Pyramides
Software
Drafts
SEARCH
Journal
Prizes & Competitions

The amendment to one statement of the paper «Idempotents and nilpotents in the clifford algebra of euclidean 3 - space and their interconnections in physics»
2010jnw | Mornev O.A.  // Institute of Theoretical and Experimental Biophysics of RAS, Pushchino, Russian Federation, mornev@mail.ru

In the authors paper mentioned in the title of this abstract and published in the Journal «Hypercomplex Numbers in Geometry and Physics», 2 (12), Vol.6, 2009, Pp. 92-137, the statement was formulated that composite idempotents of the Clifford algebra Cl3 of three dimensional Euclidean space generate nonminimal one-sided ideals of Cl3. The amendment presented here cancels this statement: one can prove that all one-sided ideals generated in Cl3 both by composite idempotents and by simple ones are always minimal. Fortunately, the proofs of the rest of results presented in that paper are not affected by this local circumstance and therefore do not fall; as a consequence, all these results remain true.


English: Russian:
11_mornev.pdf, 136,776 Kb, PDF