The category of L-algebras

Transactions on Fuzzy Sets and Systems

مقاله 13، دوره 1، شماره 2، بهمن 2022، صفحه 142-159   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2022.1959857.1034

نویسنده

Lavinia Corina Ciungu^*

Department of Mathematics, St Francis College, 180 Remsen Street, Brooklyn Heights, NY 11201-4398, USA

چکیده

‎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.

کلیدواژه‌ها

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

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