Semi Heyting Almost Distributive Lattices

Lobachevskii Journal of Mathematics - 2015
G. C. Rao1, M. V. Ratnamani2, K. P. Shum3, Berhanu Assaye4
1Department of Mathematics, Andhra University, Visakhapatnam, India
2Department of Mathematics, AITAM Enggenering College, Tekkali, India
3Faculty of Science, The Chinese University of Hong Kong, Hong Kong, China
4Berhanu Assaye, Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia

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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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Lobachevskii Journal of Mathematics

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