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Generalized supplemented lattices
- Source :
- Miskolc Mathematical Notes. 19:141
- Publication Year :
- 2018
- Publisher :
- Mathematical Notes, 2018.
-
Abstract
- WOS: 000441460300011 In this work, we define (amply) generalized supplemented lattices and investigate some properties of these lattices. In this paper, all lattices are complete modular lattices with the smallest element 0 and the greatest element 1. Let L be a lattice, 1 = a(1) v a(2) v ... v a(n) and the quotient sub lattices a(1)/0, a(2)/0,..., a(n)/ 0 be generalized supplemented, then L is generalized supplemented. If L is an amply generalized supplemented lattice, then for every a is an element of L, the quotient sublattice 1 /a is amply generalized supplemented.
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....8c0a6ab28937290586c7fc54980dcc62