Weak Relative Pseudocomplementation on Semilattices
نویسنده
چکیده
1. Introduction. A meet semilattice is said to be weakly relatively pseudocomplemented, or just wr-pseudocomplemented, if, for every element x and every y ≤ x, all the maxima
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Weak relative pseudocomplementation on a meet semilattice S is a partial operation ∗ which associates with every pair (x, y) of elements, where x ≥ y, an element z (the weak pseudocomplement of x relative to y) which is the greatest among elements u such that y = u ∧ x. The element z coincides with the pseudocomplement of x in the upper section [y) and, if S is modular, with the pseudocomplemen...
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