Total rings of fractions and Hermite rings
In this paper, we show general properties of total rings of fractions and of Hermite rings. We study the relationships between those rings and the finite dimensional K−algebras. A finite dimensional K−algebra is a commutative algebra with unit such that this is finite dimensional as vector space...
| প্রধান লেখক: | , |
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| বিন্যাস: | Online |
| ভাষা: | spa |
| প্রকাশিত: |
Universidad Pedagógica y Tecnológica de Colombia
2020
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10223 |
| সংক্ষিপ্ত: | In this paper, we show general properties of total rings of fractions and of Hermite rings. We study the relationships between those rings and the finite dimensional K−algebras. A finite dimensional K−algebra is a commutative algebra with unit such that this is finite dimensional as vector space over a field K. We proof that the finite dimensional K−algebras are total rings of fractions and also Hermite rings. In addition, we show that direct product of fields is another example of total ring of fractions and Hermite ring.
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