Recent questions tagged lattice

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why option 2 is not a distributive lattice ? i solved this and found that there are each vertex has only either one or zero complement i think it is distributive lattic...
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why pentagon is not a lattice ?
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If [P(A); ⊆] is a lattice where A = {x, y} and P(A) is the power set then what is the sum of element in Greatest Lower Bound (GLB) set of given lattice?x + y xy0
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Find a compatible total order for the divisibility relationon the set {1, 2, 3, 6, 8, 12, 24, 36}.
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Let $[N, \leq ]$ is a partial order relation defined on natural numbers, where “$\leq$” is the “less than equal to” relation defined on $N = \{ 0,1,2,3,\dots \}.$...
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For any integers $x,y,$ we say that $x$ divides $y$ iff there is some integer $z$ such that $y = x\ast z.$Let $[N, \leq]$ is a partial order relation defined on natural n...
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I am struggling to find complement of ‘b’ clearly ‘c’ and ‘d’ are not, also ‘g’ can also not be complement since (g join b = g).Please help me with this!
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I Have doubt about the language. Is it asking about the sum of elements if we make the GBL set for the given lattice .
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Can a countable infinite lattice be bounded?
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According to the answer first is’nt well ordered but we do have least element 0 there, how is 0 not least element?
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