Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AL_2023_62_5_a3, author = {M. V. Schwidefsky}, title = {Stone dualities for distributive posets}, journal = {Algebra i logika}, pages = {637--664}, publisher = {mathdoc}, volume = {62}, number = {5}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2023_62_5_a3/} }
M. V. Schwidefsky. Stone dualities for distributive posets. Algebra i logika, Tome 62 (2023) no. 5, pp. 637-664. http://geodesic.mathdoc.fr/item/AL_2023_62_5_a3/
[1] M. H. Stone, “The theory for representations for Boolean algebras”, Trans. Am. Math. Soc., 40 (1936), 37–111
[2] M. H. Stone, “Topological representations of distributive lattices and Brouwerian logics”, Časopis Mat. Fys., Praha, 67 (1937), 1–25
[3] H. A. Priestley, “Representation of distributive lattices by means of ordered Stone spaces”, Bull. Lond. Math. Soc., 2 (1970), 186–190 | DOI
[4] H. A. Priestley, “Ordered topological spaces and the representation of distributive lattices”, Proc. Lond. Math. Soc., III. Ser., 24:3 (1972), 507–530 | DOI
[5] M. Hochster, “Prime ideal structure in commutative rings”, Trans. Am. Math. Soc., 142 (1969), 43–60 | DOI
[6] G. Gierz, K. Hofmann, K. Keimel, J. Lawson, M. Mislove, D. S. Scott, Continuous lattices and domains, Encycl. Math. Appl., 93, Cambridge Univ. Press, Cambridge, 2003
[7] G. Grätzer, Lattice theory: Foundation, Birkhäuser, Basel, 2011
[8] Yu. L. Ershov, Topologiya dlya diskretnoi matematiki, Izd-vo SO RAN, Novosibirsk, 2020
[9] Yu. L. Ershov, “Spektralnaya teoriya polutopologicheskikh polureshetok”, Sib. matem. zh., 44:5 (2003), 1021–1032
[10] Yu. L. Ershov, “Spektralnaya teoriya polutopologicheskikh polureshetok. II”, Izvestiya UrGU (Ser. Matem. mekh.), 2005, no. 7(36), 107–118
[11] Yu. L. Ershov, “Spektry kolets i reshetok”, Sib. matem. zh., 46:2 (2005), 361–373
[12] D. M. Clark, B. A. Davey, Natural dualities for the working algebraist, Camb. Stud. Adv. Math., 57, Cambridge Univ. Press, Cambridge, 1998
[13] W. Dziobiak, M. V. Schwidefsky, “Categorical dualities for some two categories of lattices: an extended abstract”, Bull. Sect. Log., Univ. Ĺódź, Dep. Log., 51:3 (2022), 329–344
[14] Yu. L. Ershov, M. V. Shvidefski, “K spektralnoi teorii chastichno uporyadochennykh mnozhestv”, Sib. matem. zh., 60:3 (2019), 578–598
[15] Yu. L. Ershov, M. V. Shvidefski, “K spektralnoi teorii chastichno uporyadochennykh mnozhestv. II”, Sib. matem. zh., 61:3 (2020), 572–586
[16] C. Batueva, M. Semenova, “Ideals in distributive posets”, Cent. Eur. J. Math., 9:6 (2011), 1380–1388
[17] L. Acosta, I. M. Rubio Perilla, “Nearly spectral spaces”, Bol. Soc. Mat. Mex., III. Ser., 25:3 (2019), 687–700 | DOI