Parapseudo-complementation on Paradistributive Latticoids

초록

In this paper, we introduce the concept of a parapseudo-complementation in a paradistributive latticoid(PDL) and investigate its elementary properties. We demonstrate the independence of the axioms related to its definition, highlighting the flexibility of this concept. Additionally, we establish necessary conditions for a PDL with a minimal element to be parapseudo-complemented and explore the properties required for parapseudo-complementation to be equationally definable. Moreover, we establish a one-to-one correspondence between the set of all minimal elements and the set of all parapseudo-complementations. © 2024 EJPAM All rights reserved.

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