Tate–Shafarevich groups and algebras.

Autor: Kunyavskiĭ, Boris, Ostapenko, Vadim Z.
Předmět:
Zdroj: International Journal of Algebra & Computation; 2023, Vol. 33 Issue 4, p819-836, 18p
Abstrakt: The Tate–Shafarevich set of a group G defined by Takashi Ono coincides, in the case where G is finite, with the group of outer class-preserving automorphisms of G introduced by Burnside. We consider analogs of this important group-theoretic object for Lie algebras and associative algebras and establish some new structure properties thereof. We also discuss open problems and eventual generalizations to other algebraic structures. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index