On Algebraic Power-Associative and Jordan Algebras with Semi-Normal Functionals.
On annihilators in Jordan algebras.
In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
On Herstein's theorems relating modularity in A and A(+).
In this paper we will examine the relationship between modularity in the lattices of subalgebras of A and A(+), for A an associative algebra over an algebraically closed field. To this aim we will construct an ideal which measures the modularity of an algebra (not necessarily associative) in paragraph 1, examine modular associative algebras in paragraph 2, and prove in paragraph 3 that the ideal constructed in paragraph 1 coincides for A and A(+). We will also examine some properties of the ideal...
On Linear and Quadratic Jordan Division Algebras.
On real Cartan factors.
On the Scole of a Noncommutative Jordan Algebra.
On the socle of a Jordan pair.
On the Structure of Reduced ...-Ternary Algebras of Degree > 2.