On factorization of elements in Pimenov algebras
Abstract
We consider the operation of division in Pimenov algebras. We obtain necessary and sufficient conditions for prime elements in Pimenov algebras with a number of generators less than five. We adduce examples of the factorization of elements in these algebras.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2013
- DOI:
- 10.48550/arXiv.1303.4879
- arXiv:
- arXiv:1303.4879
- Bibcode:
- 2013arXiv1303.4879E
- Keywords:
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- Mathematics - Rings and Algebras
- E-Print:
- 12 pages