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  Degree three identities
 
 
Title: Degree three identities
Author: Hentzel, Irvin Roy
Cattaneo, Giulia Maria Piacentini
Appeared in: Communications in algebra
Paging: Volume 12 (1984) nr. 19 pages 2349-2399
Year: 1984
Contents: Out approach differs significantly from the approaches used by other mathematicians because we introduce a canonical form for identities. It is straightforward to place an identity in canoni-cal form, and, once the identities are in canonical form, it is easy to determine if they are equivalent, quasi-equivalent, or if one implies the other. This approach is used to identify the dis-tinct minimal degree three identities under the equivalence rela-tion of quasi-equivalence. We determine the exact conditions when almost left alternativity implies almost alternativity and when almost left alternativity implies power associativity. We give a method to decide when an algehra satisfying degree three identi-ties is almost alternati.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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