## Abstract

The notion of a matrix nearring over an arbitrary nearring was introduced by (Meldrum and Walt Arch. Math. 47(4): 312–319, 1986). In this paper, we define the notions such as weakly τ-prime (τ= 0 , c, 3 , e) ideals of an N-group G, which are the generalization of the classes of τ-prime ideals of G, and provide suitable examples to distinguish between the two classes. We extend the concept to obtain the one-one correspondence between weakly τ-prime ideals (τ= 0 , c, 3 , e) of N-group (over itself) and those of M_{n}(N) -group N^{n}, where M_{n}(N) is the matrix nearring over the nearring N. Further, we prove the correspondence between weakly 2-absorbing ideals of these classes.

Original language | English |
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Pages (from-to) | 449 - 465 |

Number of pages | 17 |

Journal | Rendiconti del Circolo Matematico di Palermo |

Volume | 72 |

Issue number | 1 |

DOIs | |

Publication status | Published - 02-2023 |

## All Science Journal Classification (ASJC) codes

- General Mathematics

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