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Study on Distributive Lattice and Boolean Function

 dc.contributor.advisor Rahman, Dr. Md. Bazlar dc.contributor.author Kundu, Joyanta Kumar dc.date.accessioned 2018-05-21T10:36:48Z dc.date.available 2018-05-21T10:36:48Z dc.date.copyright 2016 dc.date.issued 2016-11 dc.identifier.other ID 1451558 dc.identifier.uri http://hdl.handle.net/20.500.12228/151 dc.description This thesis is submitted to the Department of Mathematics, Khulna University of Engineering & Technology in partial fulfillment of the requirements for the degree of Master of Science in Mathematics, November 2016. en_US dc.description Cataloged from PDF Version of Thesis. dc.description Includes bibliographical references (pages 67-68). dc.description.abstract In this thesis the nature of distributive lattice and Boolean function is studied. en_US Distributive lattices have played many roles in the development of lattice theory. Distributive lattices have been studied by several authors including Abbott [6], Cornish [17], Nieminen [10].A poset (L,£) is said to form a lattice if for every a,bÎL if sup{a,b} and inf{a,b} exist in L . A lattice L is said to be distributive if "a,b,cÎ L , a Ù (b Ú c) = (a Ù b) Ú (a Ù c) holds. In this thesis we give several results on distributive lattice and Boolean function which will certainly extend and generalize many results in lattice theory. We have proved that N ´ N is modular where N is the chain of naturals under usual £ . We also generalize the following theorem of L.Nachbin[16], let L be a distributive lattice with 0 and 1 then L is Boolean iff all its prime ideals are unordered by set inclusionÍ. dc.description.statementofresponsibility Joyanta Kumar Kundu dc.format.extent 68 pages dc.language.iso en_US en_US dc.publisher Khulna University of Engineering & Technology (KUET), Khulna, Bangladesh. en_US dc.rights Khulna University of Engineering & Technology (KUET) thesis/dissertation/internship reports are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. dc.subject Distributive Lattice en_US dc.subject Boolean Function en_US dc.title Study on Distributive Lattice and Boolean Function en_US dc.type Thesis en_US dc.description.degree Master of Science in Mathematics dc.contributor.department Department of Mathematics
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