Generalized prime -filters of distributive lattices
A.P. Phaneendra Kumar; M. Sambasiva Rao; K. Sobhan Babu
Archivum Mathematicum (2021)
- Volume: 057, Issue: 3, page 157-174
- ISSN: 0044-8753
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topPhaneendra Kumar, A.P., Sambasiva Rao, M., and Sobhan Babu, K.. "Generalized prime $D$-filters of distributive lattices." Archivum Mathematicum 057.3 (2021): 157-174. <http://eudml.org/doc/298231>.
@article{PhaneendraKumar2021,
abstract = {The concept of generalized prime $D$-filters is introduced in distributive lattices. Generalized prime $D$-filters are characterized in terms of principal filters and ideals. The notion of generalized minimal prime $D$-filters is introduced in distributive lattices and properties of minimal prime $D$-filters are then studied with respect to congruences. Some topological properties of the space of all prime $D$-filters of a distributive lattice are also studied.},
author = {Phaneendra Kumar, A.P., Sambasiva Rao, M., Sobhan Babu, K.},
journal = {Archivum Mathematicum},
keywords = {dense element; filter; $D$-filter; prime $D$-filter; congruence; Hausdorff space},
language = {eng},
number = {3},
pages = {157-174},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Generalized prime $D$-filters of distributive lattices},
url = {http://eudml.org/doc/298231},
volume = {057},
year = {2021},
}
TY - JOUR
AU - Phaneendra Kumar, A.P.
AU - Sambasiva Rao, M.
AU - Sobhan Babu, K.
TI - Generalized prime $D$-filters of distributive lattices
JO - Archivum Mathematicum
PY - 2021
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 057
IS - 3
SP - 157
EP - 174
AB - The concept of generalized prime $D$-filters is introduced in distributive lattices. Generalized prime $D$-filters are characterized in terms of principal filters and ideals. The notion of generalized minimal prime $D$-filters is introduced in distributive lattices and properties of minimal prime $D$-filters are then studied with respect to congruences. Some topological properties of the space of all prime $D$-filters of a distributive lattice are also studied.
LA - eng
KW - dense element; filter; $D$-filter; prime $D$-filter; congruence; Hausdorff space
UR - http://eudml.org/doc/298231
ER -
References
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- Phaneendra Kumar, A.P., Sambasiva Rao, M., Sobhan Babu, K., Filters of distributive lattices generated by dense elements, to appear in Palestine J. Math.
- Sambasiva Rao, M., 10.1016/S0252-9602(13)60034-X, Acta Math. Sci. 33B (3) (2013), 738–746. (2013) MR3048173DOI10.1016/S0252-9602(13)60034-X
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