Residuated Structures in Algebra and Logic Michael K. Kellogg and how landscape

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Residuated Structures in Algebra and Logic Michael K. Kellogg and how landscapeThis book is an introduction to residuated structures, viewed as a common thread binding together algebra and logic. The framework includes well studied structures from classical abstract algebra such as lattice ordered groups and ideals of rings, as well as structures serving as algebraic semantics for substructural and other non classical logics. Crucially, classes of these structures are studied both algebraically, yielding a rich structure theory