On kth-Order Bernstein Algebras

スポンサーリンク

概要

• 論文の詳細を見る

• Our purpose is to study kth-order Bernstein algebras. Very little is known about them. As D.A. Towers and K. Bowman have pointed out, some classes of power associative kth-order Bernstein algebras, especially the class of kth-order Bernstein-Jordan algebras, seem to play an important role in the study of kth-order Bernstein algebras. Towers and Bowman have found the necessary and sufficient condition for a kth-order Bernstein algebra to be power associative and given the necessary and sufficient condition for a power associative kth- order Bernstein algebra to be Jordan. In this paper we shall attempt to improve those theorems. The main results are Theorem 1 and Theorem 2, by which the distinction between the notiont of the power associative kth-order Bernstein algebra and one of the kth-order Bernstein Jordan algebra may be more clear.

• 武庫川女子大学の論文
• 2003-00-00

著者

• Miyamoto Kohei

  Department of Education, Faculty of Letters Mukogawa Women's University

関連論文

• A note on Bernstein-Jordan Algebras
• A note on Bernstein-Jordan Algebras(2)
• On kth-Order Bernstein Algebras
• On Baric Algebras Satisfying x^=ω(x)^x^3

スポンサーリンク