Ideals and IWI-ideals of residuated lattice Wajsberg algebras

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DOI:

https://doi.org/10.26637/MJM0804/0057

Abstract

In this paper, we study WI-ideal of residuated lattice Wajsberg algebraand investigate some of their properties. Also, we announce the concept of implicative WI-ideal (IWI-ideal)of residuated lattice Wajsberg algebra. Further, we inspect some of its characterizations and attain some properties of residuated lattice H-Wajsberg algebra.

Keywords:

Wajsberg algebra, Lattice Wajsberg algebra, Residuated lattice Wajsberg algebra, Residuated lattice H-Wajsberg algebra, WI-ideal, Lattice ideal, Ideal, Implicative WI-ideal

Mathematics Subject Classification:

Mathematics
  • A. Ibrahim PG and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai– 622001, Tamil Nadu, India.
  • R. Shanmugapriya PG and Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai– 622001, Tamil Nadu, India.
  • Pages: 1665-1670
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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A.Ibrahim and R.Shanmugapriya, WI-Ideals of residuated lattice Wajsberg algebras, Journal of Applied Science and Computations, 5(11)(2018), 792-798.

A.Ibrahim and R.Shanmugapriya, FWI-Ideals of residuated lattice Wajsberg algebras, Journal of Computer and Mathematical Sciences, 10(3)(2019), 491-501.

A.Ibrahim and R.Shanmugapriya, Anti FWI-Ideals of residuated lattice Wajsberg algebras, Advances in Mathematics: A Scientific Journal, 8(2019), 300-306.

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Published

01-10-2020

How to Cite

A. Ibrahim, and R. Shanmugapriya. “Ideals and IWI-Ideals of Residuated Lattice Wajsberg Algebras”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1665-70, doi:10.26637/MJM0804/0057.