2011•Mohu xitong yu shuxueRequires access

The Representative Form of R_0 Algebra by Join Semi-lattice-implication Operator and Its Simplified Form

WU Hong-bo

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Abstract

By the study of the relationships among the conditions of R0 algebra,a new kind of representative form of R0 algebra is given only through the implication operator in the ∨-semi-lattice(M,∨,0,1).Simultaneously,this new form of R0 algebra is further simplified by comparing the conditions of R0 algebra with the axioms of the L* system.This work conforms R0 algebra to the features of logic algebra in definition.

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By the study of the relationships among the conditions of R0 algebra,a new kind of representative form of R0 algebra is given only through the implication operator in the ∨-semi-lattice(M,∨,0,1).Simultaneously,this new form of R0 algebra is further simplified by comparing the conditions of R0 algebra with the axioms of the L* system.This work conforms R0 algebra to the features of logic algebra in definition.

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Available abstract

By the study of the relationships among the conditions of R0 algebra,a new kind of representative form of R0 algebra is given only through the implication operator in the ∨-semi-lattice(M,∨,0,1).Simultaneously,this new form of R0 algebra is further simplified by comparing the conditions of R0 algebra with the axioms of the L* system.This work conforms R0 algebra to the features of logic algebra in definition.

Key concepts: Mathematics, Algebra over a field, Axiom, Filtered algebra, Cellular algebra, Lattice (music), Join (topology), Operator algebra

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