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- W2045490848 abstract "Mathematische NachrichtenVolume 55, Issue 1-6 p. 1-19 Article Generalized Structure Theorems of Primal Algebra Theory Philip Kelenson, Philip Kelenson Dept. of Mathematics John Jay College, C. U. N. Y. New York, New YorkSearch for more papers by this author Philip Kelenson, Philip Kelenson Dept. of Mathematics John Jay College, C. U. N. Y. New York, New YorkSearch for more papers by this author First published: 1973 https://doi.org/10.1002/mana.19730550102AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL References 1 G. Birkhoff, Lattice Theory (rev. ed.). Amer. Math. Soc. Colloq. Pub. 25, Providence, R. I. 1948. 2 A. L. Foster, Generalized Boolean Theory of Universal Algebras, Part I: Subdirect sums and normal representation theorem. Math. Z. 58, 306– 336 (1953). 3 A. L. Foster, Generalized Boolean Theory of Universal Algebras Part II: Identities and Subdirect Sums of functionally complete algebras. Math. Z. 59, 191– 199 (1953). 4 A. L. Foster, The identities of — and unique factorization within — classes of universal algebras. Math. Z. 62, 172– 188 (1955). 5 A. L. Foster, Ideals and their structure in classes of operational algebras. Math. Z. 65, 70– 75 (1956). 6 A. L. Foster, The generalized chinese remainder theorem for universal algebras, subdirect factorization. Math. Z. 66, 452– 469 (1957). 7 A. L. Foster, Functional completeness in the small; algebraic structure theorems and identities. Math. Ann. 143, 29– 58 (1961). 8 A. L. Foster, Functional completeness in the small II. Algebraic cluster theorem. Math. Ann. 148, 173– 191 (1962). 9 A. L. Foster, Families of algebras with unique (sub) direct factorization Equational characterization of factorization. Math. Ann. 166, 302– 309 (1966). 10 A. L. Foster and A. F. Pixley, Semi-categorical algebras I. Semi-primal algebras Math. Z. 83, 147– 169 (1964). 11 A. L. Foster, Semi-categorical algebras II. Math. Z. 85, 169– 184 (1964). 12 G. A. Fraser and A. Horn, Congruence relations in direct products. Proc. A.M.S. Vol. 26, No. 3 (1970). 13 M. I. Gould and G. Gratzer, Boolean extensions and normal subdirect powers of finite universal algebras. Math. Z. 99, 16– 25 (1967). 14 T. K. Hu, Stone duality for primal algebra theory. Doctoral dissertation Southern Illinois University (1969). 15 T. K. Hu, On the fundamental subdirect factorization theorems of primal algebra theory. Math. Z. 112, 154– 162 (1969). 16 T. K. Hu and P. Kelenson, Independence and direct factorization of universal algebra. Diese Nachr. 51, 83– 99 (1971). 17 P. Kelenson, Contributions to the theory of semi-primality (categoricity) and independence. Doctoral dissertation. Univ. Calif. Berkeley (1969). 18 P. Kelenson, Generalized semi-categorical algebras, Preprint. Diese Nachr, (to appear). 19 R. S. Pierce, Introduction to the theory of abstract algebras, New York-Montreal-Quebec-Londen 1968. 20 A. F. Pixley, Clusters of Algebras: Identities and structure lattices. Doctoral dissertation. Univ. of Calif. Berkeley (1961). 21 A. F. Pixley, The ternary discriminator function in Universal algebra. Math. Ann. (to appear). 23 F. M. Sioson, Free algebraic characterizations of primal and independent algebras. Proc. Amer. Math. Soc. 12, 435– 439 (1961). Volume55, Issue1-61973Pages 1-19 ReferencesRelatedInformation" @default.
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