On quasi n-absorbing elements of multiplicative lattices

2016/04/04 by Ece Yetki̇n Çeli̇kel, Celikel, Ece Yetkin
Computer Science · Mathematics · #13A15 #Advanced Algebra and Logic #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1604.00856

openalex publication_date 2016/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, we introduce the concept of quasi n-absorbing elements of multiplicative lattices. A proper element q is said to be a quasi n-absorbing element of L if whenever aⁿb≤ q implies that either aⁿ≤ q or a^n-1b≤ q. We investigate properties of this new type of elements and obtain some relations among prime, 2-absorbing, n-absorbing elements in multiplicative lattices.

Related

• Multiplicative lattices with absorbing factorization
• Quasicomplemented residuated lattices
• A class of multiplicative lattices
• Generalization of 2-absorbing quasi primary ideals
• Collections of an Ideal: Any n-Absorbing Ideal is Strongly n-Absorbing