- Tytuł:
- Infinite independent systems of identities of alternative commutative algebra over a field of characteristic three
- Autorzy:
- Sandu, Nicolae
- Powiązania:
- https://bibliotekanauki.pl/articles/728912.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
nfinite independent system of identities
alternative commutative algebra
solvable algebra
commutative Moufang loop - Opis:
-
Let ₃ denote the variety of alternative commutative (Jordan) algebras defined by the identity x³ = 0, and let ₂ be the subvariety of the variety ₃ of solvable algebras of solviability index 2. We present an infinite independent system of identities in the variety ₃ ∩ ₂₂. Therefore we infer that ₃ ∩ ₂₂ contains a continuum of infinite based subvarieties and that there exist algebras with an unsolvable words problem in ₃ ∩ ₂₂.
It is worth mentioning that these results were announced in 1999 in works of the international conference "Loops’99" (Prague). - Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 5-30
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
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