@article{CTGDC_2008__49_3_209_0, author = {Sichler, J. and Trnkov\'a, V\v era}, title = {On clones determined by their initial segments}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {49}, year = {2008}, pages = {209-227}, mrnumber = {2449674}, zbl = {1163.08001}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_2008__49_3_209_0} }
Sichler, J.; Trnková, V. On clones determined by their initial segments. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 49 (2008) pp. 209-227. http://gdmltest.u-ga.fr/item/CTGDC_2008__49_3_209_0/
[1] Abstract and Concrete Categories, Wiley, New York. | MR 1051419 | Zbl 0695.18001
, and ,[2] Elementary classes of varieties, Houston. J. Math. 7 (1981),473-492. | MR 658563 | Zbl 0487.08007
and ,[3] Universal Algebra, Harper and Row, New York, 1965. | MR 175948 | Zbl 0141.01002
,[4] Universal Algebra, Second Edition, Springer-Verlag, New York, 1979. | MR 538623
,[5] Some word problems, J. London Math. Soc. 33 (1958), 482-496. | MR 102540 | Zbl 0198.02902
,[6] Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 869-872. | MR 158921 | Zbl 0119.25901
,[7] Some algebraic pwblems in the context of functorial semantics of algebraic theories, Lect. N. in Math., vol. 61, Springer-Verlag, Berlin and New York, 1968, pp. 41-46. | MR 231882 | Zbl 0204.33802
,[8] The semigroup of endomorphisms of a Boolean ring, Semigroup Forum 4 (1972),411-416. | MR 272690 | Zbl 0224.06007
,[9] A survey of semigroups of continuons selfmaps, Semigroup Forum 11 ( 1975/76), 189-282. | MR 393330 | Zbl 0338.20088
,[10] On semigroups of Boolean ring endomorphisms, Semigroup Forum 4 (1972), 78-82. | MR 297900 | Zbl 0262.06011
,[11] Algebras, Lattices, Varieties, Volume 1, Wadsworth & Brooks/Cole, Monterey, California, 1987. | Zbl 0611.08001
, and ,[12] On recovering of a bounded distributive lattice from its endomorphism monoid, Houston J. Math 7 (1981), 525-529. | MR 658568 | Zbl 0492.06009
and ,[13] Introduction to a general theory of elementary propositions, Amer. J. Math. 43 (1921), 163-185. | JFM 48.1122.01 | MR 1506440
,[14] The Two-valued Iterative Systems of Mathematical Logic, Annals of Mathematics Studies No. 5, Princeton University Press, Princeton, N. J., 1941. | MR 4195 | Zbl 0063.06326
,[15] Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups, Fund. Math. 68 (1970), 31-50. | MR 272686 | Zbl 0197.28902
,[16] Clones in topology and algebra, Acta Math. Univ. Comenianae 66 (1997), 243-260. | MR 1620417 | Zbl 0970.08004
and ,[17] Clone segment independence in topology and algebra, Acta Sci. Math. (Szeged) 68 (2002), 611-672. | MR 1954539 | Zbl 1017.54006
and ,[18] Clones in Universal Algebra, Les Presses de L'Université de Montréal, 1986. | MR 859550 | Zbl 0603.08004
,[19] The Clone of a Topological Space, Research and Exposition in Mathematics, vol. 13, 1986, Heldermann Verlag, 1986. | MR 879120 | Zbl 0615.54013
,[20] Representability and local representability of algebraic theories, Algebra Universalis 29 (1998), 121-144. | MR 1636983 | Zbl 0936.18007
,[21] All clones are centralizer clones, preprint (2007). | MR 2551786 | Zbl 1201.03017
and ,, Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada R3T 2N2, sichler@cc.umanitoba.ca
, Mathematical Institute of Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic, trnkova@karlin.mff.cuni.cz