Generalized Extending Ideals in Modular Lattices

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Authors

  • S. K. Nimbhorkar
     Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004 ,IN
  • Rupal C. Shroff
     Department of Core Engineering and Engineering Sciences, MIT College of Engineering, Pune 411038 ,IN

Keywords:

Extending Ideal, I-Jective Ideal and Generalized Extending Ideals.
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Abstract

The concept of an extending ideal and that of I-jectivity for an ideal in a lattice is introduced. It is shown that in a modular lattice, the direct sum of extending ideals is extending if and only if the ideals are relatively jective. We also define a generalized extending ideal in a lattice and obtain some properties and characterizations of such ideals in a modular lattice.

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Published

2015-12-01

How to Cite

Nimbhorkar, S. K., & Shroff, R. C. (2015). Generalized Extending Ideals in Modular Lattices. The Journal of the Indian Mathematical Society, 82(3-4), 127–146. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/1688

Issue

Volume 82, Issue 3-4, July-December 2015

Section

Articles

License

Copyright (c) 2015 S. K. Nimbhorkar, Rupal C. Shroff

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

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