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ISOTROPIC MEAN BERWALD FINSLER WARPED PRODUCT METRICS
(Korean Mathematical Soc, 2023) Gabrani, Mehran; Rezaei, Bahman; Sevim, Esra sengelen
It is our goal in this study to present the structure of isotropic mean Berwald Finsler warped product metrics. We bring out the rich class of warped product Finsler metrics behaviour under this condition. We show that every Finsler warped product metric of dimension n >= 2 is of isotropic mean Berwald curvature if and only if it is a weakly Berwald metric. Also, we prove that every locally dually flat Finsler warped product metric is weakly Berwaldian. Finally, we prove that every Finsler warped product metric is of isotropic Berwald curvature if and only if it is a Berwald metric.
ON n-1-ABSORBING PRIMARY IDEALS
(Univ Miskolc Inst Math, 2024) Ulucak, Gulsen; Babaei, Sakineh; Sevim, Esra sengelen
The paper aims to present a new primary ideal in a commutative ring R with nonzero identity element. We introduce the new primary ideal as an n-1-absorbing primary ideal that is a generalization of both primary and 1-absorbing primary ideals. We propose to achieve two goals with this paper. Firstly, we study and characterize some essential properties of an n-1-absorbing primary ideals and figure out the relations between the other types of ideals such as prime, 1absorbing primary and irreducible ideals. Then, we classify some special rings that admit an n-1-absorbing primary ideal. We provide the results by introducing some examples.