TY - JOUR
T1 - Graph with respect to large ideals of an N-group
AU - Salvankar, Rajani
AU - Yashaswini, H. L.
AU - Srinivas, Kedukodi Babushri
AU - Panackal, Harikrishnan
AU - Prasad, Kuncham Syam
N1 - Publisher Copyright:
© The Indian National Science Academy 2025.
PY - 2025/9
Y1 - 2025/9
N2 - We consider a module G over a right nearring N. We define the large ideal graph of G. For a finitely generated N-group, we prove that its large ideal graph has diameter at most 3 and provide an equivalent condition for G to be completely reducible. We prove several properties which involve connectedness, diameter and completeness etc. of graphs obtained from large ideals and strictly large ideals of G. Significant examples are given to illustrate various notions.
AB - We consider a module G over a right nearring N. We define the large ideal graph of G. For a finitely generated N-group, we prove that its large ideal graph has diameter at most 3 and provide an equivalent condition for G to be completely reducible. We prove several properties which involve connectedness, diameter and completeness etc. of graphs obtained from large ideals and strictly large ideals of G. Significant examples are given to illustrate various notions.
UR - https://www.scopus.com/pages/publications/105010031836
UR - https://www.scopus.com/pages/publications/105010031836#tab=citedBy
U2 - 10.1007/s13226-025-00823-4
DO - 10.1007/s13226-025-00823-4
M3 - Article
AN - SCOPUS:105010031836
SN - 0019-5588
VL - 56
SP - 1078
EP - 1089
JO - Indian Journal of Pure and Applied Mathematics
JF - Indian Journal of Pure and Applied Mathematics
IS - 3
ER -