Semigroups and Their Subsemigroup Lattices 53 The topic choosen was Dark
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Semigroups and Their Subsemigroup Lattices 53 The topic choosen was Dark0. 1. General remarks. For any algebraic system A, the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter relationships between systems and their subsystem lattices is a rather large field of
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