An example for mappings related to semi-confluence.
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Pyrih, Pavel (2000)
Southwest Journal of Pure and Applied Mathematics [electronic only]
A. Lelek (1972)
Colloquium Mathematicae
M. Rostami, Ilda I. Rodrigues (2011)
Archivum Mathematicum
Let , be an algebraic lattice. It is well-known that with its topological structure is topologically scattered if and only if is ordered scattered with respect to its algebraic structure. In this note we prove that, if is a distributive algebraic lattice in which every element is the infimum of finitely many primes, then has Krull-dimension if and only if has derived dimension. We also prove the same result for , the set of all prime elements of . Hence the dimensions on the lattice...
R. Pol, E. Puzio (1975)
Fundamenta Mathematicae
Abd El-Monsef, M.E., Kozae, A.M., Abo Khadra, A.A. (1996)
International Journal of Mathematics and Mathematical Sciences
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