Document Zbl 0518.06011

Affine complete double Stone algebras with bounded core. (English) Zbl 0518.06011

Algebra Univers. 16, 237-244 (1983).

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MSC:

06D15	Pseudocomplemented lattices
06D25	Post algebras (lattice-theoretic aspects)
06B10	Lattice ideals, congruence relations

Keywords:

affine complete algebra; congruences; double Stone algebra; bounded distributive lattice; affine complete Stone algebras; Post algebra

Citations:

Zbl 0203.229; Zbl 0497.06011; Zbl 0146.019

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Full Text: DOI

References:

[1]	R. Balbes andPh. Dwinger,Distributive lattices, Univ. Missouri Press, Columbia, Miss. (1974). · Zbl 0321.06012
[2]	R. Beazer,The determination congruence on double p-algebras, Algebra Universalis6 (1976), 121-129. · Zbl 0353.06002 · doi:10.1007/BF02485824
[3]	R. Beazer,Post-like algebras and injective Stone algebras, Algebra Universalis5 (1975), 16-23. · Zbl 0305.06005 · doi:10.1007/BF02485227
[4]	R. Beazer,Affine complete Stone algebras, Act. math. Acad. Sci. Hungar.39(1982), 169-174. · Zbl 0497.06011 · doi:10.1007/BF01895229
[5]	G. Gr?tzer,On Boolean functions (Notes on lattice theory II), Revue de Math. Pures et Appliquees7 (1962), 693-697. · Zbl 0134.25801
[6]	G. Gr?tzer,Boolean functions on distributive lattices, Acta Math. Acad. Sci. Hungar.15 (1964), 195-201. · Zbl 0146.01902 · doi:10.1007/BF01897037
[7]	G. Gratzer,Lattice theory, First concepts and distributive lattices. W. H. Freeman and Co., San Francisco, Calif. (1971).
[8]	T.-K. Hu,Characterization of algebraic functions in equational classes generated by independent primal algebras, Algebra Universalis1 (1971), 187-191. · Zbl 0242.08004 · doi:10.1007/BF02944977
[9]	A. A. Iskander,Algebraic functions on p-rings. Colloq. Math.25 (1972), 37-41. · Zbl 0212.04001
[10]	T. Katri??k,The injective double Stone Algebras, Algebra Universalis4 (1974), 259-267. · Zbl 0302.06022 · doi:10.1007/BF02485733
[11]	K. Keimel andH. Werner,Stone duality for varieties generated by quasi-primal algebras. Recent advances in representation theory of rings and C *-algebras by continuous sections. (Sem., Tulane Univ., New Orleans La., 1973), 59-85. Mem. Amer. Math. Soc. 148, Amer. Math. Soc. Providence, R. I., (1974).
[12]	R. A. Knoebel,Congruence-preserving functions in quasi-primal varieties, Algebra Universalis4 (1974), 287-288. · Zbl 0304.08005 · doi:10.1007/BF02485740
[13]	A. F. Pixley,Completeness in arithmetical algebras, Algebra Universalis2 (1972), 179-196. · Zbl 0254.08010 · doi:10.1007/BF02945027
[14]	H. Werner,Produckte von Kongruenzklassengeometrien universeller Algebren, Math. Z.121 (1971), 111-140. · Zbl 0203.22902 · doi:10.1007/BF01113481

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