A GENERALIZATION OF DIMENSION OF VECTOR SPACES TO MODULES OVER ASSOCIATIVE RINGS

Authors

  • Satyanarayana Bhavanari Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522 510, A.P., India Author
  • Mohiddin Shaw Sk Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522 510, A.P., India Author
  • Eswaraiah Setty Sriramula Department of Mathematics, SGS College, Jaggaiahpet, Krishna DT, A.P Author
  • Babu Prasad M Vijayawada, A.P., India. Author

DOI:

https://doi.org/10.70153/

Abstract

The aim of the present paper is to provide information regarding the generalization of the concept „dimension‟ of vector spaces to modules over associative rings. This paper explains a fundamental structure theorem related to the dimension of modules that was proved in 1957 by a well known algebraist A.W. Goldie (University of Leeds). This paper is very much useful for the beginners in research to understand the algebraic techniques how definitions and other new notions go on, and how logic is generated to form some important structure theorems in algebra.

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Published

2009-07-31

Issue

Vol. 1 No. 2 (2009): IJCMI_VOL1_NO2_2009

Section

Articles

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Creative Commons License

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