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.
Groenewald, N. (2021). On 2-absorbing and weakly 2-absorbing principally right primary ideals. Journal of Algebra and Related Topics, 9(2), 47-67. doi: 10.22124/jart.2021.19172.1264
MLA
N. J. Groenewald. "On 2-absorbing and weakly 2-absorbing principally right primary ideals". Journal of Algebra and Related Topics, 9, 2, 2021, 47-67. doi: 10.22124/jart.2021.19172.1264
HARVARD
Groenewald, N. (2021). 'On 2-absorbing and weakly 2-absorbing principally right primary ideals', Journal of Algebra and Related Topics, 9(2), pp. 47-67. doi: 10.22124/jart.2021.19172.1264
VANCOUVER
Groenewald, N. On 2-absorbing and weakly 2-absorbing principally right primary ideals. Journal of Algebra and Related Topics, 2021; 9(2): 47-67. doi: 10.22124/jart.2021.19172.1264
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