University of Guilan Journal of Algebra and Related Topics 2345-3931 9 2 2021 12 01 On 2-absorbing and weakly 2-absorbing principally right primary ideals 47 67 5185 10.22124/jart.2021.19172.1264 EN N. J. Groenewald Department of Mathematics, Nelson Mandela University, Port Elizabeth, South Africa. Journal Article 2021 03 14 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. https://jart.guilan.ac.ir/article_5185_59cd6fb009267c42d07de1ba5a6f074d.pdf