On sturdy frame of abstract algebras
2015
We introduce the notion of a sturdy frame of abstract algebras which is a
common generalization of a sturdy semilattice of semigroups, the sum of
lattice ordered systems, the strong distributive lattice of semirings, the
sturdy frame of type (2, 2) algebras and the strong b-lattice of semirings.
Also, we give some properties and characterizations of the sturdy frame of
abstract algebras. As an application, we study the sturdy distributive
lattice of lattice ordered groups.
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