| Title:
|
Remarks on $Q$-independence of Stone algebras (English) |
| Author:
|
Chwastyk, Anna |
| Author:
|
Głazek, Kazimierz |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
181-197 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03G10 |
| MSC:
|
06D15 |
| MSC:
|
08A40 |
| MSC:
|
08B20 |
| idZBL:
|
Zbl 1150.06310 |
| idMR:
|
MR2229340 |
| . |
| Date available:
|
2009-09-25T14:31:11Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132358 |
| . |
| Reference:
|
[1] BALBES R.-DWINGER, PH.: Distributive Lattices.Univ. Missouri Press, Columbia, MO, 1974. Zbl 0321.06012, MR 0373985 |
| Reference:
|
[2] BURRIS S.- SANKAPPANAVAR H. P.: A Course in Universal Algebra.(The Millen-nium Edition, 2nd ed.), 2000. http://www.math.uwaterloo.ca/ snburris/htdocs/ualg.html. |
| Reference:
|
[3] CHAJDA I.-GŁAZEK K.: A Basic Course on General Algebra.Technical Univ. Press, Zielona Góra, 2000. Zbl 0970.08001, MR 1783394 |
| Reference:
|
[4] CHEN C. C.-GRÄTZER G.: Stone lattices. I: Construction theorems.Canad. J. Math. 21 (1969), 884-894. Zbl 0184.03303, MR 0242737 |
| Reference:
|
[5] GŁAZEK K.: Independence with respect to family of mappings in abstract algebras.Dissertationes Math. (Rozprawу Mat.) 81 (1971), 1-55. Zbl 0213.29601, MR 0289396 |
| Reference:
|
[6] GŁAZEK K.: General notions of independence.In: Advances in Algebra, World Scientific, Singapore, 2003, pp. 112-128. Zbl 1034.08001, MR 2088435 |
| Reference:
|
[7] GŁAZEK K.-HECHT T.- KATRIŇÁK T.: On weak homomorphisms of Stone algebra.In: Contrib. Universal Algebra, Szeged 1975. Colloq. Math. Soc. János Bolyai 17, North-Holland, Amsterdam, 1977, pp. 145-159. MR 0480281 |
| Reference:
|
[8] GOLEMA-HARTMAN K.: Exchange property and t-independence.Colloq. Math. 36 (1976), 181-186. Zbl 0355.08008, MR 0434921 |
| Reference:
|
[9] GRÄTZER G.: A new notion of independence in universal algebras.Colloq. Math. 17 (1967), 225-234. Zbl 0189.29802, MR 0222002 |
| Reference:
|
[10] GRÄTZER G.: General Lattice Theory.Academic Press, New York, 1978. MR 0509213 |
| Reference:
|
[11] GRÄTZER G.-SCHMIDT E. T.: On a problem of M. H. Stone.Acta Math. Acad. Sci. Hungar. 8 (1957), 455-460. Zbl 0079.04503, MR 0092763 |
| Reference:
|
[12] MARCZEWSKI E.: A general scheme of the notions of independence in mathematics.Bull. Acad. Polon. Sci. Ser. Sci. Math. Astron. Phys. 6 (1958), 731-738. Zbl 0088.03001, MR 0104610 |
| Reference:
|
[13] MARCZEWSKI E.: Independence in algebras of sets and Boolean algebras.Fund. Math. 48 (1960), 135-145. Zbl 0149.26003, MR 0111707 |
| Reference:
|
[14] MARCZEWSKI E.: Concerning the independence in lattices.Colloq. Math. 10 (1963), 21-23. MR 0155783 |
| Reference:
|
[15] MARCZEWSKI E.: Independence with respect to a family of mappings.Colloq. Math. 20 (1968), 11-17. MR 0241347 |
| Reference:
|
[16] PŁONKA J.-POGUNTKE W.: T-independence in distributive lattices.Colloq. Math. 36 (1976), 171-175. Zbl 0362.06014, MR 0432507 |
| Reference:
|
[17] SCHMIDT J.: Eine algebraische Ăquivalente zum Auswahlaxiom.Fund. Math. 50 (1962), 485-496. MR 0139558 |
| Reference:
|
[18] ŚWIERCZKOWSKI S.: Topologies in free algebras.Proc. London Math. Soc. (3) 14 (1964), 566-576. Zbl 0123.09902, MR 0161936 |
| Reference:
|
[19] SZÁSZ G.: Marczewski independence in lattices and semilattices.Colloq. Math. 10 (1963), 15-20. Zbl 0118.02401, MR 0155782 |
| . |
