Lavinia Corina Ciungu - Department of Mathematics, St Francis College, ۱۸۰ Remsen Street, Brooklyn Heights, NY ۱۱۲۰۱-۴۳۹۸, USA

‎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.

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