An ideal theoretic characterization of finite sets, finite algebras, and σ -algebras of countably generated type

Detlef Plachky

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 3, page 301-311
  • ISSN: 0232-0525

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Plachky, Detlef. "An ideal theoretic characterization of finite sets, finite algebras, and $\sigma $-algebras of countably generated type." Mathematica Slovaca 51.3 (2001): 301-311. <http://eudml.org/doc/31666>.

@article{Plachky2001,
author = {Plachky, Detlef},
journal = {Mathematica Slovaca},
keywords = {algebra; -algebra; ideal; maximal ideal},
language = {eng},
number = {3},
pages = {301-311},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {An ideal theoretic characterization of finite sets, finite algebras, and $\sigma $-algebras of countably generated type},
url = {http://eudml.org/doc/31666},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Plachky, Detlef
TI - An ideal theoretic characterization of finite sets, finite algebras, and $\sigma $-algebras of countably generated type
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 3
SP - 301
EP - 311
LA - eng
KW - algebra; -algebra; ideal; maximal ideal
UR - http://eudml.org/doc/31666
ER -

References

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  3. BIRKHOFF G., Lattice Theory, (Corr. repr. of the 1967 Зrd ed.). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1979. (1967) Zbl0153.02501MR0227053
  4. DUNFORD N.-SCHWARTZ J. T., Linear Operators I, Inteгscience Publishers, New York, 1964. (1964) 
  5. HALMOS P. R., Measure Theory, Springer, Berlin, 1974. (1974) Zbl0283.28001MR0453532
  6. JECH, TH., Set Theory, Academic Press, New York, 1978. (1978) Zbl0419.03028MR0506523
  7. KELLEY J. L., General Topology, Springer, New York, 1955. (1955) Zbl0066.16604MR0070144
  8. PLACHKY D., Some measure theoretical characterizations of separability of metric spaces, Arch. Math. 58 (1992), 366-367. (1992) Zbl0822.54024MR1152624
  9. SHORTT R. M.-BHASKARA RAO K. P. S., Borel spaces II, Dissertationes Math. (Rozprawy Mat.) CCCLXXП (1998). (1998) MR1606491

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