Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (5): 584-588.

• Articles • Previous Articles     Next Articles

R0-algebra and Its Structure

  

  1. (Faculty of Science, Xi'an Jiaotong Univ., Xi'an 710049)

    (Institute of Mathematics, Shanxi Normal Univ., Xi'an 710062)

  • Online:1999-12-05 Published:1999-12-05

Abstract:

Based on R0-Lindenbaum algebras, R0-algebras, which are slightly stronger than implication lattice algebras, are proposed in this paper. After the discussion on their basic properties, two equivalent structural theorems of R0-algebras are developed. Moreover, from the standpoint of quotient algebras, the basic structures of R0-algebras are particularly investigated.

Key words: R0-algebra, Equivalent system, Congruent relation, Quotient algebra.

CLC Number: 

  • 06B05,06G15
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