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Complemented lattice
A relatively complemented lattice is a lattice such that every interval [c, d] is complemented. Complements need not be unique. An orthocomplementation on a ... More »
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www.jstor.org/stable/1969328
Every relatively complemented lattice satisfying the ascending chain condition is ... L is said to be locally relatively complemented if the quotient lattices ua/a and ...
planetmath.org/encyclopedia/RelativeComplement.html
Let $L$ be a lattice, $a$ an element of $L$ , and $I=[b,c]$ an interval in $L$ . An element $d\in L$ is said to be a complement of $a$ relative to $I$ if $$a\vee d=c\ ...
www.math.bme.hu/~schmidt/papers/7.pdf
got the relatively complemented distributive lattices, one of the most impor~ ... Any distributive lattice which is not relatively complemented has a homo- morphic ...
www.ams.org/journals/proc/1967-018-01/S0002-9939-1967-0... www.ams.org/journals/proc/1967-018-01/S0002-9939-1967-0200209-7/S0002-9939-1967-0200209-7.pdf
elegant and polished character, for which there is no other outlet. THE CENTER OF A COMPLETE RELATIVELY. COMPLEMENTED LATTICE IS A COMPLETE ...
projecteuclid.org/DPubS/Repository/1.0/Disseminate?view... projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdffirstpage_1&handle=euclid.dmj/1077476390
relatively complemented lattices satisfying the ascending chain condition. Suppose we consider an arbitrary relatively complemented lattice of finite dimension.
www.dur.ac.uk/andrei.krokhin/papers/supermod_rel_compl_... www.dur.ac.uk/andrei.krokhin/papers/supermod_rel_compl_UA.pdf
Recall that a lattice L is relatively complemented if every interval of L is com- ... complemented lattice is a direct product of simple relatively complemented ...
dimax.rutgers.edu/~melj/vita3.pdf
1967 The center of a complete relatively complemented lattice is a complete ... 1968 Perspective properties of relatively complemented lattices, J. of Natural ...
www.sciencedirect.com/science/article/pii/S0012365X8180... www.sciencedirect.com/science/article/pii/S0012365X81800271
A relatively complemented lattice is defined to be a lattice in which every interval ... In this note we show that a relatively complemented lattice of finite length is in ...
books.google.com/books/about/An_algebraic_approach_to_n... books.google.com/books/about/An_algebraic_approach_to_non_classical_l.html?id=TMcnP6PZ6gwC
Relatively pseudo-complemented lattices, contrapositionally complemented lattices, semi-complemented laticies and pseudo-boolean algebras.
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