Multiplicative Lattices with Absorbing Factorization

التفاصيل البيبلوغرافية
العنوان: Multiplicative Lattices with Absorbing Factorization
المؤلفون: Reinhart, Andreas, Ulucak, Gulsen
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Commutative Algebra, 06F10, 06F05, 13A15
الوصف: In [22], Yassine et al. introduced the notion of 1-absorbing prime ideals in commutative rings with nonzero identity. In this article, we examine the concept of 1-absorbing prime elements in C-lattices. We investigate the C-lattices in which every element is a finite product of 1-absorbing prime elements (we denote them as OAFLs for short). Moreover, we study C-lattices having 2-absorbing factorization (we denote them as TAFLs for short).
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.01100
رقم الأكسشن: edsarx.2408.01100
قاعدة البيانات: arXiv