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Cubic Intuitionistic Implicative Ideals of BCK-Algebras

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Abstract

The cubic intuitionistic implicative ideals in BCK-algebras and the relationship between a cubic intuitionistic subalgebra, a cubic intuitionistic ideal and a cubic intuitionistic implicative ideal are discussed. Conditions for a cubic intuitionistic ideal to be a cubic intuitionistic implicative ideal are provided. Characterizations of a cubic intuitionistic implicative ideal are considered. The cubic intuitionistic extension property for a cubic intuitionistic implicative ideal is established.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Tapan Senapati

  2. School of Mathematics and Statistics, Southwest University, Beibei, Chongqing, 400715, People’s Republic of China

    Tapan Senapati & K. P. Shum

  3. Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea

    Young Bae Jun

Authors
  1. Tapan Senapati
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  2. Young Bae Jun
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  3. K. P. Shum
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Correspondence to Tapan Senapati.

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Senapati, T., Jun, Y.B. & Shum, K.P. Cubic Intuitionistic Implicative Ideals of BCK-Algebras. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 91, 273–282 (2021). https://doi.org/10.1007/s40010-020-00674-0

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  • DOI: https://doi.org/10.1007/s40010-020-00674-0

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