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Your search keyword '"Cigdem Bicer"' showing total 2 results
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2 results on '"Cigdem Bicer"'

1. Cofinitely ⨁-supplemented lattices

Author

Cigdem Bicer and Celil Nebiyev

Subjects
Numerical Analysis, Pure mathematics, Control and Optimization, Algebra and Number Theory, Discrete Mathematics and Combinatorics, Analysis, Mathematics
Published
2020

2. Generalized supplemented lattices

Author

Celil Nebiyev, Cigdem Bicer, Ali Pancar, and OMÜ

Subjects
Numerical Analysis, Pure mathematics, Control and Optimization, Algebra and Number Theory, lattices, High Energy Physics::Lattice, supplemented lattices, hollow lattices, Discrete Mathematics and Combinatorics, amply supplemented lattices, Physics::History of Physics, Analysis, Mathematics
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.

Published
2018

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