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Title: A categorical generalization of a theorem of G. Birkhoff on primitive classes of universal algebras (English)
Author: Drbohlav, Karel
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 6
Issue: 1
Year: 1965
Pages: 21-41
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Category: math
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MSC: 08-30
MSC: 08Axx
MSC: 18Dxx
idZBL: Zbl 0128.02203
idMR: MR0177926
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Date available: 2008-06-05T20:19:54Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/104991
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Reference: [1] BIRKHOFF G.: On the structure of abstract algebras.Proc. Cambridge Phil. Soc. 31 (1935), 433-454. Zbl 0013.00105
Reference: [2] DRBOHLAV K.: A note on epimorphisms in algebraic categories.Comment. Math. Univ. Carolinae 4 (1963), 81-85. Zbl 0115.01402, MR 0184983
Reference: [3] GÖDEL K.: The consistency of the axiom of choice....Princeton 1940.
Reference: [4] ISBELL J. R.: Algebras of uniformly continuous functions.Ann. of Math. 68 (1958), 96-125. Zbl 0081.11101, MR 0103407
Reference: [5] ISBELL J. R.: Subobjects, adequacy, completeness and categories of algebras.Rozprawy matematyczne XXXVI, Warszawa 1964. Zbl 0133.26703
Reference: [6] KUROŠ A. G., LIVŠIC A. H., ŠUL'GEĬFER E. G.: Osnovy teorii kategorii.Uspehi mat. nauk 15 : 6 (1960), 3-52. MR 0118755
Reference: [7] LAWVERE F. W.: Functional semantics of algebraic theories.thesis, Columbia 1963.
Reference: [8] LIVŠIC A. H., CALENKO M. S., ŠUL'GEĬFER E. G.: Mnogoobrazija v kategorijah.Matem. Sbornik 63 (105), 554-581 (1964). MR 0184986
Reference: [9] MACLANE S.: Categorical algebra.Colloquium Lectures given at Boulder, Colorado, August 27-30, 1963, Amer. Math. Soc. 1963.
Reference: [10] MAL'CEV A. I.: Kvaziprimitivnye klassy abstraktnyh algebr.Doklady Akad. Nauk SSSR 108 (1956), 187-189.
Reference: [11] MAL'CEV A. I.: Strukturnaja harakteristika nekotoryh klassov algebr.Doklady Akad. Nauk SSSR 120 (1958), 29-32.
Reference: [12] SCHMIDT J.: Concerning algebraic independence.Conference on General Algebra, Warsaw, September 7-11, 1964. MR 0176951
Reference: [13] SEMADENI Z.: Projectivity, injectivity and duality.Rozprawy Matematyczne XXXV, Warszawa, 1963. Zbl 0121.02401, MR 0154832
Reference: [14] ZILBER J. A.: Categories in homotopy theory.Dissertation, Harvard University, 1963.
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