Bibliography
Foster, A. L.: Generalized “Boolean” theory of universal algebras, Part I. Subdirect sums and normal representation theorem. Math. Z.58, 306–336 (1953).
—: Part II. Identities and subdirect sums of functionally complete algebras. Math. Z.59, 191–199 (1953).
—: The identities of — and unique factorization within—classes of universal algebras. Math. Z.62, 172–188 (1955).
—: Functional completeness in the small; algebraic structure theorems and identities. Math. Ann.143, 29–58 (1955).
—:p-rings and their Boolean vector representation. Acta Math.84, 231–261 (1951).
O'Keefe, E. S.: On the independence of primal algebras. Math. Z.73, 79–94 (1960).
Sioson, F.: Contributions to primal algebra theory and independence. Doctoral Dissertation, University of Calif., Berkeley 1960.
Stone, M. H.: The theory of representations of Boolean algebras. Trans. Amer. Math. Soc.40, 37–111 (1936).
Wade, L. I.: Post algebras and rings. Duke Math. J.12, 389–395 (1945).
Zemmer, J. L.: Some remarks onp-rings and their Boolean geometry. Pac. J. Math.29, 193–205 (1956).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Foster, A.L. Generalized equational maximality and primal-in-the-small algebras. Math Z 79, 127–146 (1962). https://doi.org/10.1007/BF01193111
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01193111