Order and orthogonality relations in rings and algebras

Rok, strany: 1993, 31 - 46

In this paper we consider well-known and new order relations in rings with involution, alternative rings and Jordan algebras. To each of them is associated an orthogonality relation and the notion of orthomodular group is introduced in order to collect their common properties related to the orthomodular law. Commutativity of two elements (in the meaning of orthomodular lattice theory) is characterized and some particular properties of idempotents and projections are proved.

ISO 690:

Chevalier, G. 1993. Order and orthogonality relations in rings and algebras. In Tatra Mountains Mathematical Publications, vol. 3, no.2, pp. 31-46. 1210-3195.

APA:

Chevalier, G. (1993). Order and orthogonality relations in rings and algebras. Tatra Mountains Mathematical Publications, 3(2), 31-46. 1210-3195.