Publication: On quası n-ideals of commutative rings
Loading...
Files
Date
2022-12-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Let R be a commutative ring with a nonzero identity. In this study, we present a new class of ideals lying properly between the class of n-ideals and the class of (2, n)-ideals. A proper ideal I of R is said to be a quasi n-ideal if root I is an n-ideal of R. Many examples and results are given to disclose the relations between this new concept and others that already exist, namely, the n-ideals, the quasi primary ideals, the (2, n)-ideals and the pr-ideals. Moreover, we use the quasi n-ideals to characterize some kind of rings. Finally, we investigate quasi n-ideals under various contexts of constructions such as direct product, power series, idealization, and amalgamation of a ring along an ideal.
Description
Keywords
Matematik, Temel Bilimler (SCI), MATHEMATICS, Natural Sciences (SCI), Analiz, Cebir ve Sayı Teorisi, Matematik (çeşitli), Genel Matematik, Fizik Bilimleri, Analysis, Algebra and Number Theory, Mathematics (miscellaneous), General Mathematics, Physical Sciences, n-ideal, quasi n-ideal, (2, n)-ideal, 13A15, 13A18, n-ideal, quasi n-ideal, (2, n)-ideal
Citation
Anebri A., Mahdou N., ASLANKARAYİĞİT UĞURLU E., "ON QUASI n-IDEALS OF COMMUTATIVE RINGS", CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.72, sa.4, ss.1133-1144, 2022