A note on dimensions in N-groups

Satyanarayana Bhavanari; Syam Prasad Kuncham; Venugopala Rao Paruchuri; Mallikarjuna Bhavanari

A note on dimensions in N-groups

Satyanarayana Bhavanari
, Syam Prasad Kuncham^*
, Venugopala Rao Paruchuri
, Mallikarjuna Bhavanari

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	649-657
Number of pages	9
Journal	Italian Journal of Pure and Applied Mathematics
Volume	44
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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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.

UR - https://www.scopus.com/pages/publications/85090157669

UR - https://www.scopus.com/pages/publications/85090157669#tab=citedBy

M3 - Article

AN - SCOPUS:85090157669

SN - 1126-8042

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SP - 649

EP - 657

JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

ER -

A note on dimensions in N-groups

Abstract

All Science Journal Classification (ASJC) codes

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