Weak pseudo-complementations on ADL’s

R. Vasu Babu; Ch. Santhi Sundar Raj; B. Venkateswarlu

Archivum Mathematicum (2014)

  • Volume: 050, Issue: 3, page 151-159
  • ISSN: 0044-8753

Abstract

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The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.

How to cite

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Vasu Babu, R., Santhi Sundar Raj, Ch., and Venkateswarlu, B.. "Weak pseudo-complementations on ADL’s." Archivum Mathematicum 050.3 (2014): 151-159. <http://eudml.org/doc/261967>.

@article{VasuBabu2014,
abstract = {The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.},
author = {Vasu Babu, R., Santhi Sundar Raj, Ch., Venkateswarlu, B.},
journal = {Archivum Mathematicum},
keywords = {almost distributive lattices; Boolean algebras; Boolean rings; weak pseudocomplementation; pseudo-complemented ADLs},
language = {eng},
number = {3},
pages = {151-159},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Weak pseudo-complementations on ADL’s},
url = {http://eudml.org/doc/261967},
volume = {050},
year = {2014},
}

TY - JOUR
AU - Vasu Babu, R.
AU - Santhi Sundar Raj, Ch.
AU - Venkateswarlu, B.
TI - Weak pseudo-complementations on ADL’s
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 3
SP - 151
EP - 159
AB - The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.
LA - eng
KW - almost distributive lattices; Boolean algebras; Boolean rings; weak pseudocomplementation; pseudo-complemented ADLs
UR - http://eudml.org/doc/261967
ER -

References

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  1. Birkhoff, G., Lattice theory, American Mathematical Society Colloquium Publications, vol. XXV, American Mathematical Society, Providence, 1967. (1967) Zbl0153.02501
  2. Frink, O., 10.1215/S0012-7094-62-02951-4, Duke Math. J. 29 (1961), 505–514. (1961) MR0140449DOI10.1215/S0012-7094-62-02951-4
  3. Lee, K.B., 10.4153/CJM-1970-101-4, Canadian J. Math. 22 (1970), 881–891. (1970) MR0265240DOI10.4153/CJM-1970-101-4
  4. Speed, T.P., 10.1017/S1446788700007217, J. Australian Math. Soc. 9 (1967), 297–307. (1967) MR0246801DOI10.1017/S1446788700007217
  5. Swamy, U.M., Ramesh, S., Sundar Raj, Ch.S., 10.1142/S179355711000026X, Asian-Eur. J. Math. 3 (2010), no. 2, 357–367. (2010) MR2669039DOI10.1142/S179355711000026X
  6. Swamy, U.M., Rao, G.C., 10.1017/S1446788700018498, J. Australian Math. Soc. 31 (1981), 77–91, (Series A). (1981) Zbl0473.06008MR0622814DOI10.1017/S1446788700018498
  7. Swamy, U.M., Rao, G.C., Rao, G.N., 10.1007/s10012-000-0095-5, Southeast Asian Bull. Math. 24 (2000), 95–104. (2000) Zbl0982.06011MR1811218DOI10.1007/s10012-000-0095-5
  8. Venkateswarlu, B., Vasu Babu, R., Asssociate elements in ADL’s, Asian-Eur. J. Math. (to appear). 

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