|
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: |
| |
|
|
|