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Structure Theorems for Equivalence Classes in Finite Post Algebras

Ed DuCasse, Gernot Metze

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Abstract

The concept of equivalence for elements of [P(n)]m [4] is a generalization of the notion of equivalence for one-variable functions defined on a Post chain [10,11].Several characterizations of the equivalence classes of this relation are presented here, yielding consider able insight into the structural properties of this important relation.The classes are then related to various ideals and filters of the Post algebra.

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The concept of equivalence for elements of [P(n)]m [4] is a generalization of the notion of equivalence for one-variable functions defined on a Post chain [10,11].Several characterizations of the equivalence classes of this relation are presented here, yielding consider able insight into the structural properties of this important relation.The classes are then related to various ideals and filters of the Post algebra.

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Available abstract

The concept of equivalence for elements of [P(n)]m [4] is a generalization of the notion of equivalence for one-variable functions defined on a Post chain [10,11].Several characterizations of the equivalence classes of this relation are presented here, yielding consider able insight into the structural properties of this important relation.The classes are then related to various ideals and filters of the Post algebra.

Key concepts: Equivalence relation, Quotient algebra, Mathematics, Equivalence (formal languages), Matrix equivalence, Congruence relation, Pure mathematics, Generalization

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