TY - JOUR
T1 - Generalization of prime ideals in Mn(N) -group Nn
AU - Tapatee, S.
AU - Kedukodi, B. S.
AU - Juglal, S.
AU - Harikrishnan, P. K.
AU - Kuncham, S. P.
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2023/2
Y1 - 2023/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85118561395&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85118561395&partnerID=8YFLogxK
U2 - 10.1007/s12215-021-00682-y
DO - 10.1007/s12215-021-00682-y
M3 - Article
AN - SCOPUS:85118561395
SN - 0009-725X
VL - 72
SP - 449
EP - 465
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
IS - 1
ER -