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Dominions in decomposable varieties
Dominions, in the sense of Isbell, are investigated in the context of decomposable varieties of groups. An upper and lower bound for dominions in...
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Semilattice modes II: the amalgamation property
Let
V be a variety of semilattice modes with associated semiring R . We prove that if R is a bounded distributive lattice, thenV has the amalgamation... -
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Co-rectangular bands and cosheaves in categories of algebras
Conditions on a category C are studied which imply that every structure of rectangular band on an object S of C arises from a unique product...
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Actions of Boolean rings on sets
Let B be a Boolean ring (with 1), S a sheaf of sets on the Stone space Spec( B ), and S the set of global sections of S. For every a ε B and s, t ε S , let a (s,...