Local I-Semipotent Rings

Let R be a ring with identity and I be a proper ideal of R . We define local I -semipotent and local semipotent rings. We give some characterizations of this rings which are a generalization of I -semipotent rings. We extend some known concepts to this structure. Moreover, we investigate the structu...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2019-08, Vol.16 (4), p.1-13, Article 98
Main Authors: Özen, Tahire, Yıldırım, K. M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Rings (mathematics)
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Summary:Let R be a ring with identity and I be a proper ideal of R . We define local I -semipotent and local semipotent rings. We give some characterizations of this rings which are a generalization of I -semipotent rings. We extend some known concepts to this structure. Moreover, we investigate the structure of a right R -module M R when E n d ( M R ) is a local semipotent ring.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-019-1372-4