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 SM ISO690:2012NEGRU, Ion. On a Certain Property of the Elements of a Finitely Generated Lattice. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 98-99. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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Firstly, a reminder that a lattice is a set S of elements; it is partially ordered, closed in relation to two lattice operations: the reunion a + b and the intersection a b of any two elements a and b from set S. (The reunion a + b is the smallest element of the lattice containing both elements a and b; the intersection a b is the greatest element of the lattice contained in both elements a and b. Obviously, a a + b; b a + b; a a b; b a b) A lattice may also be de ned thusly: the generating elements of the lattice are given. Other elements, di erent from the generators, are obtained via the two lattice operations, applied to the generators. |
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