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On 2-absorbing and weakly 2-absorbing principally right primary ideals | ||
| Journal of Algebra and Related Topics | ||
| دوره 9، شماره 2، اسفند 2021، صفحه 47-67 اصل مقاله (334.47 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2021.19172.1264 | ||
| نویسنده | ||
| N. J. Groenewald* | ||
| Department of Mathematics, Nelson Mandela University, Port Elizabeth, South Africa. | ||
| چکیده | ||
| Let R be a noncommutative ring. The purpose of this note is to investigate the concept of 2-absorbing (resp., weakly 2-absorbing) p right primary ideals generalizing 2-absorbing (resp., weakly 2-absorbing) ideals of noncommutative rings. From Birkenmeier we have that for commutative rings the notions of primary rings (ideals) coincide with p right primary rings (ideals). Hence all results about 2-absorbing and weakly 2-absorbing primary ideals for commutative rings will follow as special cases from results proved in this note. A number of results concerning 2-absorbing (resp., weakly 2-absorbing) p right primary ideals are given, generalizing the corresponding results from commutative rings to noncommutative rings. | ||
| کلیدواژه‌ها | ||
| right primary؛ weakly right primary؛ strongly p-nilary؛ prime ideal | ||
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آمار تعداد مشاهده مقاله: 622 تعداد دریافت فایل اصل مقاله: 621 |
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