ON INVERSE LIMIT OF A PROJECTIVE SYSTEM OF BL-ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| دوره 12، شماره 1، آذر 2024، صفحه 123-133 اصل مقاله (136.19 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.12222.1643 | ||
| نویسنده | ||
| Reza Tayebi Khorami* | ||
| Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran. | ||
| چکیده | ||
| In this paper, the inverse limits of a projective system of basic logic algebras (BL-algebras) are introduced, and their basic properties are studied. The set of congruences of a BL-algebra is considered as a poset. Then, a quotient inverse system and a quotient inverse limit on it are constructed. Moreover, by setting filters of a BL-algebra, quotient projective and inverse systems are constructed. | ||
| کلیدواژهها | ||
| BL-algebra؛ inverse limit؛ projective system | ||
| مراجع | ||
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