Remarks on Q -independence of Stone algebras

Anna Chwastyk; Kazimierz Głazek

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 2, page 181-197
  • ISSN: 0232-0525

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Chwastyk, Anna, and Głazek, Kazimierz. "Remarks on $Q$-independence of Stone algebras." Mathematica Slovaca 56.2 (2006): 181-197. <http://eudml.org/doc/32280>.

@article{Chwastyk2006,
author = {Chwastyk, Anna, Głazek, Kazimierz},
journal = {Mathematica Slovaca},
keywords = {-independent; Stone algebras},
language = {eng},
number = {2},
pages = {181-197},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Remarks on $Q$-independence of Stone algebras},
url = {http://eudml.org/doc/32280},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Chwastyk, Anna
AU - Głazek, Kazimierz
TI - Remarks on $Q$-independence of Stone algebras
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 2
SP - 181
EP - 197
LA - eng
KW - -independent; Stone algebras
UR - http://eudml.org/doc/32280
ER -

References

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  3. CHAJDA I.-GŁAZEK K., A Basic Course on General Algebra, Technical Univ. Press, Zielona Góra, 2000. Zbl0970.08001MR1783394
  4. CHEN C. C.-GRÄTZER G., Stone lattices. I: Construction theorems, Canad. J. Math. 21 (1969), 884-894. (1969) Zbl0184.03303MR0242737
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  6. GŁAZEK K., General notions of independence, In: Advances in Algebra, World Scientific, Singapore, 2003, pp. 112-128. Zbl1034.08001MR2088435
  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. (1975) MR0480281
  8. GOLEMA-HARTMAN K., Exchange property and t-independence, Colloq. Math. 36 (1976), 181-186. (1976) Zbl0355.08008MR0434921
  9. GRÄTZER G., A new notion of independence in universal algebras, Colloq. Math. 17 (1967), 225-234. (1967) Zbl0189.29802MR0222002
  10. GRÄTZER G., General Lattice Theory, Academic Press, New York, 1978. (1978) MR0509213
  11. GRÄTZER G.-SCHMIDT E. T., On a problem of M. H. Stone, Acta Math. Acad. Sci. Hungar. 8 (1957), 455-460. (1957) Zbl0079.04503MR0092763
  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. (1958) Zbl0088.03001MR0104610
  13. MARCZEWSKI E., Independence in algebras of sets and Boolean algebras, Fund. Math. 48 (1960), 135-145. (1960) Zbl0149.26003MR0111707
  14. MARCZEWSKI E., Concerning the independence in lattices, Colloq. Math. 10 (1963), 21-23. (1963) MR0155783
  15. MARCZEWSKI E., Independence with respect to a family of mappings, Colloq. Math. 20 (1968), 11-17. (1968) MR0241347
  16. PŁONKA J.-POGUNTKE W., T-independence in distributive lattices, Colloq. Math. 36 (1976), 171-175. (1976) Zbl0362.06014MR0432507
  17. SCHMIDT J., Eine algebraische Ăquivalente zum Auswahlaxiom, Fund. Math. 50 (1962), 485-496. (1962) MR0139558
  18. ŚWIERCZKOWSKI S., Topologies in free algebras, Proc. London Math. Soc. (3) 14 (1964), 566-576. (1964) Zbl0123.09902MR0161936
  19. SZÁSZ G., Marczewski independence in lattices and semilattices, Colloq. Math. 10 (1963), 15-20. (1963) Zbl0118.02401MR0155782

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