The category of L-algebras

Subject Areas : Transactions on Fuzzy Sets and Systems

Lavinia Corina Ciungu ¹

1 - Department of Mathematics, St Francis College, Brooklyn Heights, USA.

Received: 2022-05-28 Accepted : 2022-05-29 Published : 2022-11-07

Keywords: L-algebra‎, ‎Cyclic L-algebra‎, ‎MV-algebra‎, ‎Equalizer‎, ‎Product‎, Co-product‎,

Abstract :

In this paper, we define and study the category of L-algebras, proving that this category has equalizers, coequalizers, kernel pairs and products. We investigate the existence of injective objects in this category and show that an object in the subcategory of cyclic L-algebras is injective if and only if it is a complete and divisible cyclic L-algebra.

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