• ON ALMOST BOOLEAN ALGEBRAS AND RINGS
Abstract
In this paper we make a detailed study on the concepts of Almost Boolean algebras and Almost Boolean rings. Mainly, we prove that the class of Almost Boolean algebras and the class of Almost Boolean rings form categories and we establish an equivalence between them.
Keywords
Almost Distributive lattice (ADL), Almost Boolean algebra (ABA), Almost Boolean ring (ABR) and categorical equivalence.
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