Relatively pseudocomplemented Hilbert algebras

Jānis Cīrulis

Open Mathematics (2008)

  • Volume: 6, Issue: 1, page 189-190
  • ISSN: 2391-5455

Abstract

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We characterise those Hilbert algebras that are relatively pseudocomplemented posets.

How to cite

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Jānis Cīrulis. "Relatively pseudocomplemented Hilbert algebras." Open Mathematics 6.1 (2008): 189-190. <http://eudml.org/doc/269505>.

@article{JānisCīrulis2008,
abstract = {We characterise those Hilbert algebras that are relatively pseudocomplemented posets.},
author = {Jānis Cīrulis},
journal = {Open Mathematics},
keywords = {compatible meet; distributive poset; Hilbert algebra; relatively pseudocomplemented poset},
language = {eng},
number = {1},
pages = {189-190},
title = {Relatively pseudocomplemented Hilbert algebras},
url = {http://eudml.org/doc/269505},
volume = {6},
year = {2008},
}

TY - JOUR
AU - Jānis Cīrulis
TI - Relatively pseudocomplemented Hilbert algebras
JO - Open Mathematics
PY - 2008
VL - 6
IS - 1
SP - 189
EP - 190
AB - We characterise those Hilbert algebras that are relatively pseudocomplemented posets.
LA - eng
KW - compatible meet; distributive poset; Hilbert algebra; relatively pseudocomplemented poset
UR - http://eudml.org/doc/269505
ER -

References

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  1. [1] Cīrulis J., Hilbert algebras as implicative partial semilattices, Cent. Eur. J. Math., 2007, 5, 264–279 http://dx.doi.org/10.2478/s11533-007-0008-2 Zbl1125.03047
  2. [2] Figallo A.V., Ramón G., Saad S., A note on Hilbert algebras with infimum, Mat. Contemp., 2003, 24, 23–37 Zbl1082.03057
  3. [3] Pawar Y.S., Implicative posets, Bull. Calcutta Math. Soc., 1993, 85, 381–384 Zbl0813.06001
  4. [4] Rudeanu S., On relatively pseudocomplemented posets and Hilbert algebras, An. Științ. Univ. Al. I. Cuza lași Secț. I a Mat, 1985, 31, 74–77 

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