Construction and affine completeness of principal p-algebras

Rok, strany: 1995, 217 - 228

In this paper we introduce the class of principal p-algebras which contains all quasi-modular p-algebras having a smallest dense element. We present a simple triple construction of principal p-algebras which works with pairs of elements only. We show that a principal p-algebra is locally affine complete (in the sense of [A. F. Pixley: Completeness in arithmetical algebras, Algebra Universalis 2 (1972), 179–196]) iff it is a Boolean algebra, and consequently, that finite Boolean algebras are the only finite affine complete principal p-algebras.

ISO 690:

Haviar, M. 1995. Construction and affine completeness of principal p-algebras. In Tatra Mountains Mathematical Publications, vol. 5, no.1, pp. 217-228. 1210-3195.

APA:

Haviar, M. (1995). Construction and affine completeness of principal p-algebras. Tatra Mountains Mathematical Publications, 5(1), 217-228. 1210-3195.