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Multipliers in weak Heyting algebras | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 4 - شماره پیاپی 29، اسفند 2024، صفحه 53-66 اصل مقاله (444.91 K) | ||
| نوع مقاله: Special Issue Dedicated to Prof. Esfandiar Eslami | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.22758.1563 | ||
| نویسنده | ||
| Shokoofeh Ghorbani* | ||
| Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this paper, we introduce the notion of multipliers in weak Heyting algebras and investigate some related properties of them. We obtain the relations between multipliers, closure operators, and homomorphisms in weak Heyting algebras. Relations among image sets and fixed point sets of multipliers in weak Heyting algebras are investigated. Also, we study algebraic structures of the set of all multipliers in weak Heyting algebras. Using multipliers, the left and right m-stabilizers in weak Heyting algebras are introduced, and some related properties are given. Also, we obtain conditions such that the left and right m-stabilizers form two weak Heyting algebras. | ||
| کلیدواژه‌ها | ||
| Weak Heyting algebra؛ multiplier؛ m-stabilizer؛ fix point؛ closure operators | ||
| مراجع | ||
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