Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
From Z∘-ideals to weak Z∘-ideals in MV-algebras. |
| Συγγραφείς: |
Forouzesh, Fereshteh1 (AUTHOR) frouzesh@bam.ac.ir, Bedrood, Mahta2 (AUTHOR) mbedrood@unisa.it, Lenzi, Giacomo2 (AUTHOR) gilenzi@unisa.it |
| Πηγή: |
Soft Computing - A Fusion of Foundations, Methodologies & Applications. Aug2026, Vol. 30 Issue 8, p5451-5460. 10p. |
| Θεματικοί όροι: |
*Prime ideals, *Ideals (Algebra), *Many-valued logic |
| Περίληψη: |
In this paper, the arranged element is introduced in MV-algebras, and its characteristics are studied. It is proved that an MV-algebra A is an MV-chain if and only if every nonzero element is an arranged element. In the continuation, weak Z ∘ -ideals are defined and equivalent definitions of weak Z ∘ -ideals are provided. Their relationships with existing notions such as Z ∘ -ideals and Z J ∘ -ideals are examined. This analysis makes it possible to establish new classifications of prime and minimal prime ideals. Additionally, properties of annihilators in MV-algebras are investigated. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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