Improve Results for Set Identities

Abstract

In this work, we presented a new law which was based on the well-known duality property for the set identities. We introduced the diagrams that could be applied to the proof for the set identities. Some prime examples were also provided to illustrate the proposed law.

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Liu, Y. (2014) Improve Results for Set Identities. Applied Mathematics, 5, 677-684. doi: 10.4236/am.2014.54065.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Liu, Y.H. (2011) A New Branch of the Pure Algebra: BCL-Algebras. Advances in Pure Mathematics, 1, 297-299.
http://dx.doi.org/10.4236/apm.2011.15054
[2] Liu, Y.H. (2012) On BCL+-Algebras. Advances in Pure Mathematics, 2, 59-61.
http://dx.doi.org/10.4236/apm.2012.21012
[3] Deena, A.K. and Rodyna, H. (2013) On BCL-Algebra. Journal of Advances in Mathematics, 3, 184-190.
[4] Liu, Y.H. (2013) Partial Orders in BCL+-Algebra. Journal of Advances in Mathematics, 5, 630-634.
[5] Rosen, K.H. (1998) Discrete Mathematics and Its Applications. 4th Edition, McGraw-Hill, New York.

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