On ۲-absorbing and weakly ۲-absorbing principally right primary ideals
عنوان مقاله: On ۲-absorbing and weakly ۲-absorbing principally right primary ideals
شناسه ملی مقاله: JR_JART-9-2_005
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_JART-9-2_005
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
N. Groenewald - Department of Mathematics, Nelson Mandela University, Port Elizabeth, South Africa.
خلاصه مقاله:
N. Groenewald - Department of Mathematics, Nelson Mandela University, Port Elizabeth, South Africa.
Let R be a noncommutative ring. The purpose of this note is to investigate the concept of ۲-absorbing (resp., weakly ۲-absorbing) p right primary ideals generalizing ۲-absorbing (resp., weakly ۲-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 ۲-absorbing and weakly ۲-absorbing primary ideals for commutative rings will follow as special cases from results proved in this note. A number of results concerning ۲-absorbing (resp., weakly ۲-absorbing) p right primary ideals are given, generalizing the corresponding results from commutative rings to noncommutative rings.
کلمات کلیدی: right primary, weakly right primary, strongly p-nilary, prime ideal
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2030099/