TY - JOUR
T1 - Generalization of prime ideals in MΓ-groups
AU - Bhavanari, Satyanarayana
AU - Paruchuri, Venugopala Rao
AU - Sahoo, Tapatee
AU - Kuncham, Syam Prasad
N1 - Funding Information:
The author1 acknowledges Acharya Nagarjuna University, author2 acknowledges Andhra Loyola College (Autonomous), authors3,4 acknowledge Manipal Institute of Technology (MIT), MAHE, Manipal, India for their kind encouragement. The authors thank the referees for their careful reading of the manuscript and valuable suggestions.
Publisher Copyright:
© Palestine Polytechnic University-PPU 2022.
PY - 2022
Y1 - 2022
N2 - In this paper, we consider a module over a Γ-nearring (also known as, MΓ-group) G. We introduce the notions (i, 2)-absorbing, i ∈ {c, 3} ideals of G, as a generalization of i-prime ideal of G. We prove several properties and exhibit examples that indicate these classes are different from the existing classes of prime ideals. Further, we prove the properties such as homomorphic images, inverse images of (c, 2)-absorbing ideals of G, and the properties involving Notherian quotients of (i, 2)-absorbing ideals of G, i ∈ {c, 3}.
AB - In this paper, we consider a module over a Γ-nearring (also known as, MΓ-group) G. We introduce the notions (i, 2)-absorbing, i ∈ {c, 3} ideals of G, as a generalization of i-prime ideal of G. We prove several properties and exhibit examples that indicate these classes are different from the existing classes of prime ideals. Further, we prove the properties such as homomorphic images, inverse images of (c, 2)-absorbing ideals of G, and the properties involving Notherian quotients of (i, 2)-absorbing ideals of G, i ∈ {c, 3}.
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M3 - Article
AN - SCOPUS:85132287105
SN - 2219-5688
VL - 11
SP - 443
EP - 454
JO - Palestine Journal of Mathematics
JF - Palestine Journal of Mathematics
IS - 3
ER -