Albert algebras over and other rings

Triangulaizability of Algebras Over Division Rings

Separable Algebras over Commutative Rings

Introduction. The main objects of study in this paper are the commutative separable algebras over a commutative ring. Noncommutative separable algebras have been studied in [2]. Commutative separable algebras have been studied in [1] and in [2], [6] where the main ideas are based on the classical Galois theory of fields. This paper depends heavily on these three papers and the reader should con...

triangulaizability of algebras over division rings

Albert Algebras over Curves of Genus Zero and One

Albert algebras and other Jordan algebras are constructed over curves of genus zero and one, using a generalization of the Tits process and the first Tits construction due to Achhammer.

Symmetric Algebras over Rings and Fields

Connections between annihilators and ideals in Frobenius and symmetric algebras are used to provide a new proof of a result of Nakayama on quotient algebras, and an application is given to central symmetric algebras. 2010 Mathematics subject classification: primary 16D99; secondary 15A63.