Equality of orthogonal transvection group and elementary orthogonal transvection group
Journal of Pure and Applied Algebra, ISSN: 0022-4049, Vol: 223, Issue: 7, Page: 2831-2844
2019
- 2Citations
- 3Usage
- 1Captures
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- Citations2
- Citation Indexes1
- Policy Citations1
- 1
- Usage3
- Abstract Views3
- Captures1
- Readers1
Article Description
H. Bass defined orthogonal transvection group of an orthogonal module and elementary orthogonal transvection group of an orthogonal module with a hyperbolic direct summand. We also have the notion of relative orthogonal transvection group and relative elementary orthogonal transvection group with respect to an ideal of the ring. According to the definition of Bass relative elementary orthogonal transvection group is a subgroup of the relative orthogonal transvection group of an orthogonal module with hyperbolic direct summand. Here we show that these two groups are the same in the case when the orthogonal module splits locally.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022404918302408; http://dx.doi.org/10.1016/j.jpaa.2018.09.018; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85053674013&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022404918302408; https://api.elsevier.com/content/article/PII:S0022404918302408?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0022404918302408?httpAccept=text/plain; https://dul.usage.elsevier.com/doi/; https://digitalcommons.isical.ac.in/journal-articles/796; https://digitalcommons.isical.ac.in/cgi/viewcontent.cgi?article=2550&context=journal-articles; https://dx.doi.org/10.1016/j.jpaa.2018.09.018
Elsevier BV
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