Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: alternative commutative algebra

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Infinite independent systems of identities of alternative commutative algebra over a field of characteristic three

100%

Sandu N.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 1

5-30

Let 𝔄₃ denote the variety of alternative commutative (Jordan) algebras defined by the identity x³ = 0, and let 𝔖₂ be the subvariety of the variety 𝔄₃ of solvable algebras of solviability index 2. We present an infinite independent system of identities in the variety 𝔄₃ ∩ 𝔖₂𝔖₂. Therefore we infer that 𝔄₃ ∩ 𝔖₂𝔖₂ contains a continuum of infinite based subvarieties and that there exist algebras with an unsolvable words problem in 𝔄₃ ∩ 𝔖₂𝔖₂. It is worth mentioning that these results were announced in 1999 in works of the international conference "Loops’99" (Prague).

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Sandu N.

1 2004

Wyniki wyszukiwania

Infinite independent systems of identities of alternative commutative algebra over a field of characteristic three