When are all separately band preserving bilinear operators symmetric?

Kusraev A. G.
Владикавказский математический журнал. . Том 9. 2007 г.. Выпуск 2.

Аннотация:
A purely algebraic characterization of universally complete vector lattices in which all separately band preserving bilinear operators are symmetric is obtained: this class consists of universally complete vector lattices with \(\sigma\)-distributive Boolean algebra of bands.

Ключевые слова: vector lattice, band preserving operator, orthosymmetric bilinear operator, \(\sigma\)-distributive Boolean algebra, Boolean valued model.

Язык статьи: Английский Загрузить полный текст