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

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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 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
JournalRendiconti del Circolo Matematico di Palermo
DOIs
Publication statusAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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