Generalization of prime ideals in Mn(N) -group Nn

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 Mn(N) -group Nn, where Mn(N) is the matrix nearring over the nearring N. Further, we prove the correspondence between weakly 2-absorbing ideals of these classes.

Original languageEnglish
Pages (from-to)449 - 465
Number of pages17
JournalRendiconti del Circolo Matematico di Palermo
Issue number1
Publication statusPublished - 02-2023

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


Dive into the research topics of 'Generalization of prime ideals in Mn(N) -group Nn'. Together they form a unique fingerprint.

Cite this