Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
On quasi(semi) convex MV-algebras. |
| Συγγραφείς: |
An, Yingying1 (AUTHOR), Dong, Yanyan2 (AUTHOR), Qiu, Chenxi2 (AUTHOR) |
| Πηγή: |
Logic Journal of the IGPL. Jun2026, Vol. 34 Issue 3, p1-22. 22p. |
| Θεματικοί όροι: |
Ideals (Algebra), Ordered algebraic structures, Many-valued logic |
| Περίληψη: |
In this paper, we equip MV-algebras with convex structures and introduce the notions of semiconvex MV-algebras and quasiconvex MV-algebras by requiring the MV-operations to be semi-convexity-preserving and convexity-preserving, respectively. Moreover, we explore their properties. Based on the previous study of weak convex MV-algebras, we further investigate related issues for weak convex MV-algebras and obtain some new results. Finally, we show that the collection of all lattice ideals on each MV-algebra A forms a convex structure, denoted by C , we further prove that (A , C) is a semiconvex MV-algebra. We also investigate the finite products and quotients of such lattice ideal convex structures on MV-algebras. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: |
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