Show simple item record

dc.contributor.authorRao, Calyampudi Radhakrishna
dc.contributor.authorUndurthi, Venugopalam
dc.date.accessioned2016-03-13T12:18:31Z
dc.date.available2016-03-13T12:18:31Z
dc.date.issued2015
dc.identifier.issn0138-0680
dc.identifier.urihttp://hdl.handle.net/11089/17399
dc.description.abstractIn this paper, we prove that the lattice of all closure operators of a complete Almost Distributive Lattice L with fixed maximal element m is dual atomistic. We define the concept of a completely meet-irreducible element in a complete ADL and derive a necessary and sufficient condition for a dual atom of Φ(L) to be complemented.pl_PL
dc.description.sponsorshipThis research is supported by the U.G.C, Major Research Project Ref. No.41783/2012(SR) 17-07-2012.pl_PL
dc.language.isoenpl_PL
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl_PL
dc.relation.ispartofseriesBulletin of the Section of Logic;1/2
dc.subjectComplete Almost Distributive Latticepl_PL
dc.subjectClosure operatorpl_PL
dc.subjectDual atompl_PL
dc.subjectDual atomisticpl_PL
dc.subjectCompletely meet-irreducible elementpl_PL
dc.titleClosure Operators on Complete Almost Distributive Lattices-IIIpl_PL
dc.typeArticlepl_PL
dc.rights.holder© Copyright by Uniwersytet Łódzki, Łódź 2015pl_PL
dc.page.number81–93pl_PL
dc.contributor.authorAffiliationDepartment of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India – 530003.pl_PL
dc.identifier.eissn2449-836X
dc.referencesMeuborn A. A., Regular rings and Baer rings, Math. Z., Vol. 121 (1971), pp. 211–219.pl_PL
dc.referencesSaracino D. and Weispfield V., On algebraic curves over commutative regular rings, Model thoery and algebra, Lecuture notes in Math., 498 (1975), pp. 307–383.pl_PL
dc.referencesRao G. C. and Rao G. Nanaji, Psuedo-Complementation on Almost Distributive Lattices, Southeast Asian Bulletin of Mathematics 24 (2000), pp. 95–104.pl_PL
dc.referencesRao G. C. and Kumar Kakumanu Naeen, BL-Almost Distributive Lattices, Asian-European Journal of Mathematics, Vol. 5 (2012), 1250022 (8 pages).pl_PL
dc.referencesRao G. C. and Kumar S. Ravi, Normal Almost Distributive Lattices, Southeast Asian Bulletin of Mathematics, Vol. 32 (2008), pp. 831–841.pl_PL
dc.referencesRao G. C. and Undurthi Venugopalam, Complete Almost Distributive Lattices, Asain European Journal of Mathematics, Vol. 7, No. 3 (2014) 1450052 (8 pages).pl_PL
dc.referencesRao G. C. and Undurthi Venugopalam, Closure Operators on Complete Almost Distributive Lattices-I, International Journal of Mathematical Archive, 5(6) (2014), pp. 119–124.pl_PL
dc.referencesRao G. C. and Undurthi Venugopalam, Closure Operators on Complete Almost Distributive Lattices-II, Southeast Asian Bulletin of Mathematics (Accepted for publication).pl_PL
dc.referencesGrätzer G., Lattice Theory: Foundation, Birkhäuser Verlag, Basel, 2011. XXIX + 613P. ISBN: 978−3−0348−0017−4.pl_PL
dc.referencesSusman I., A generalization for Boolean rings, Math. Ann. J. Australian Math. Soc. Series A, Vol. 31 (1981), pp. 77–91.pl_PL
dc.referencesVon Neuman J., On regular rings, Proc. Nat. Acad. Sci., Vol. 22 (1963), pp. 707–713, U.S.A.pl_PL
dc.referencesMc Coy N. H., and Mantagomery D., A representation of generalized Boolean rings, Duke. Math. J., Vol. 3 (1937), pp. 455–459.pl_PL
dc.referencesSubrahmanyam N. V., Lattice theory for certain classes of rings, Math. Ann., 139 (1960), pp. 275–286.pl_PL
dc.referencesSubrahmanyam N. V., Structure theory for generalized Boolean rings, Math. Ann., 141 (1960), pp. 297–310.pl_PL
dc.referencesSubrahmanyam N. V., An extension of Boolean lattice theory, Math. Ann., 151 (1963), pp. 332–345.pl_PL
dc.referencesArens R. F. and Kaplansky I., The topologicall representation of algebras, Trans, Amer. Math. Soc., Vol. 63 (1948), pp. 457–481.pl_PL
dc.referencesSwamy U. M. and Rao G. C., Almost Distributive Lattices, J. Aust. Math. Soc. (Series-A), 31 (1981), pp. 77–91.pl_PL
dc.referencesSwamy U. M., Rao G. C. and Rao G. Nanaji, Stone Almost Distributive Lattices, Southeast Asian Bulletin of Mathematics, 27 (2003), pp. 513–526.pl_PL
dc.contributor.authorEmailgcraomaths@yahoo.co.inpl_PL
dc.contributor.authorEmailvenumaths@yahoo.compl_PL
dc.relation.volume44pl_PL


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record