Korean Journal of Mathematics
- Volume 14 Issue 2
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- Pages.217-226
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- 2006
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
RELATIONS OF SHORT EXACT SEQUENCES CONCERNING AMALGAMATED FREE PRODUCTS
- Shin, Woo Taeg (Department of Applied Mathematics Pukyong National University)
- Received : 2006.11.03
- Published : 2006.12.30
Abstract
In this paper, we investigate the mutual relation among short exact sequences of amalgamated free products which involve augmentation ideals and relation modules. In particular, we find out commutative diagrams having a steady structure in the sense that all of their three columns and rows are short exact sequences.
Keywords
- commutative diagram;
- short exact sequence;
- amalgamated free product;
- augmentation ideal;
- relation module