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Relatively orthomodular lattices

open access: yesDiscrete Mathematics, 2001
\textit{M.~F.~Janowitz} [``A note on generalized orthomodular lattices'', J. Nat. Sci. Math. 8, 89-94 (1968; Zbl 0169.02104)] defined a generalized orthomodular lattice (GOML) as a lattice with 0 and with an orthogonality relation (similar to that considered in orthomodular lattices (OMLs)).
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On interval homogeneous orthomodular lattices

open access: green, 2001
Summary: An orthomodular lattice \(L\) is said to be interval homogeneous (respectively centrally interval homogeneous) if it is \(\sigma \)-complete and satisfies the following property: Whenever \(L\) is isomorphic to an interval, \([a,b]\), in \(L\) then \(L\) is isomorphic to each interval \([c,d]\) with \(c\leq a\) and \(d\geq b\) (respectively ...
Anna De Simone   +2 more
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Orthomodular Lattices [PDF]

open access: yesFormalized Mathematics, 2008
Elżbieta Mądra, Adam Grabowski
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Roughness in Orthomodular Lattices

open access: yesInternational Journal of Mathematics and Soft Computing, 2012
In this paper, we define the rough approximation operators in an algebra using its congruence relations and study some of their properties. Further, we consider the rough approximation operators in orthomodular lattices. We introduce the notion of rough ideal (filter) with respect to a p-ideal in an orthomodular lattice.
D. Umadevi, E. K. R Nagarajan
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