The Representative Form of R_0 Algebra by Join Semi-lattice-implication Operator and Its Simplified Form
WU Hong-bo
Abstract
WU Hong-bo
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.
Key concepts: Mathematics, Algebra over a field, Axiom, Filtered algebra, Cellular algebra, Lattice (music), Join (topology), Operator algebra