Читать книгу Algebra and Applications 2 - Группа авторов - Страница 45

A left NAP algebra over a field k is a k-vector space A with a bilinear binary composition ▶ that satisfies the left NAP identity:

[1.105]

for any a, b, c ∈ A. Analogously, a right NAP algebra is a k-vector space A with a binary composition ◀ satisfying the right NAP identity:

[1.106]

As any right NAP algebra is also a left NAP algebra with product a ▶ b := b ◀ a, we can stick to left NAP algebras, which is what we will do unless specifically indicated.