Natural equational bases for Newman and boolean algebras

F. M. Sioson

Compositio Mathematica (1965-1966)

  • Volume: 17, page 299-310
  • ISSN: 0010-437X

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Sioson, F. M.. "Natural equational bases for Newman and boolean algebras." Compositio Mathematica 17 (1965-1966): 299-310. <http://eudml.org/doc/88924>.

@article{Sioson1965-1966,
author = {Sioson, F. M.},
journal = {Compositio Mathematica},
keywords = {mathematical logic},
language = {eng},
pages = {299-310},
publisher = {Kraus Reprint},
title = {Natural equational bases for Newman and boolean algebras},
url = {http://eudml.org/doc/88924},
volume = {17},
year = {1965-1966},
}

TY - JOUR
AU - Sioson, F. M.
TI - Natural equational bases for Newman and boolean algebras
JO - Compositio Mathematica
PY - 1965-1966
PB - Kraus Reprint
VL - 17
SP - 299
EP - 310
LA - eng
KW - mathematical logic
UR - http://eudml.org/doc/88924
ER -

References

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  1. Birkhoff, G., [1] Lattice Theory. Providence: American Mathematical Society, 1948. Zbl0126.03801MR29876
  2. Birkhoff, G. and G.D. Birkhoff, [2] "Distributive postulates for systems like Boolean algebras", Transactions of the American Mathematical Society, 60 (1946) 3-11. Zbl0060.05810MR17735
  3. Birhhoff, G., [3] "On the structure of abstract algebras", Proceedings of the Cambridge Philosophical Society, 31 (1935) 433-454. Zbl0013.00105JFM61.1026.07
  4. Newman, M.H.A., [4] "A characterization of Boolean lattices and rings", Journal of the London Mathematical Society, 16 (1941) 256-272. Zbl0060.06305MR7000
  5. Newman, M.H.A., [5] "Axioms for algebras of Boolean type", Journal of the London Mathematical Society, 19 (1944) 28-31. Zbl0060.06304MR11071
  6. Sioson, F.M., [6] "Equational bases of Boolean algebras", Journal of Symbolic Logic, 29 (1964) 115-124. Zbl0135.03302MR172824
  7. Wooyenaka, Y., [7] "On postulate-sets for Newman algebra and Boolean algebra, I, II ", Proceedings of the Japan Academy, 40 (1964) 76-81, 82-87. Zbl0202.32104MR163864

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