TY - JOUR
T1 - A note on dimensions in N-groups
AU - Bhavanari, Satyanarayana
AU - Kuncham, Syam Prasad
AU - Paruchuri, Venugopala Rao
AU - Bhavanari, Mallikarjuna
PY - 2020
Y1 - 2020
N2 - The concepts essential and finite dimension played an important role in the development of the dimension theory of modules over rings. Finite dimension, essential, strictly essential, and some related concepts were studied in nearrings and N-groups by Reddy-Satyanarayana [11], Satyanarayana [14, 20], Satyanarayana-Syam Prasad [22, 23, 24, 25]. In this paper, the authors introduced the concept finite 1-dimension and studied the relationship between finite dimension and finite 1-dimension. Some related examples are also provided.
AB - The concepts essential and finite dimension played an important role in the development of the dimension theory of modules over rings. Finite dimension, essential, strictly essential, and some related concepts were studied in nearrings and N-groups by Reddy-Satyanarayana [11], Satyanarayana [14, 20], Satyanarayana-Syam Prasad [22, 23, 24, 25]. In this paper, the authors introduced the concept finite 1-dimension and studied the relationship between finite dimension and finite 1-dimension. Some related examples are also provided.
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M3 - Article
AN - SCOPUS:85090157669
SN - 1126-8042
VL - 44
SP - 649
EP - 657
JO - Italian Journal of Pure and Applied Mathematics
JF - Italian Journal of Pure and Applied Mathematics
ER -