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Semi Heyting Almost Distributive Lattices

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Abstract

In this paper, we introduce the concept of a Semi Heyting Almost Distributive Lattice (SHADL) as a generalization of a Semi Heyting Algebra in the class of ADLs. We characterize an SHADL in terms of its principal ideals. We also give different sets of equations that define an SHADL.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India

    G. C. Rao

  2. Department of Mathematics, AITAM Enggenering College, Tekkali, Srikakulam, Andhra Pradesh, India

    M. V. Ratnamani

  3. Faculty of Science, The Chinese University of Hong Kong, Hong Kong, China

    K. P. Shum

  4. Berhanu Assaye, Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia

    Berhanu Assaye

Authors
  1. G. C. Rao
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  2. M. V. Ratnamani
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  3. K. P. Shum
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  4. Berhanu Assaye
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Corresponding author

Correspondence to G. C. Rao.

Additional information

Submitted by M. M. Arslanov

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Rao, G.C., Ratnamani, M.V., Shum, K.P. et al. Semi Heyting Almost Distributive Lattices. Lobachevskii J Math 36, 184–189 (2015). https://doi.org/10.1134/S1995080215020158

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  • DOI: https://doi.org/10.1134/S1995080215020158

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