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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.31 No.4

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Left and Right Coresiduated Lattices

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2024, v.31 no.4, pp.387-400
https://doi.org/10.7468/jksmeb.2024.31.4.387
Ju-mok Oh (Gangneung-Wonju National University)
Ju-mok, O. (2024). Left and Right Coresiduated Lattices. , 31(4), 387-400, https://doi.org/10.7468/jksmeb.2024.31.4.387

Abstract

In this paper, we introduce the pairs of negations and pseudo t-conorms on lattices. As a noncommutative sense, we de ne left and right oresiduated lattices which are an algebraic structure to deal information systems. We investigate their properties and construct them. Moreover, we give their examples.

keywords
pseudo t-conorms, pairs of negations, left (resp. right, generalized) coresiduated lattices

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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