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GVW algorithm over principal ideal domains |
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| Authors: | Dongmei Li Jinwang Liu Weijun Liu Licui Zheng |
| Institution: | 1. Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan, 411201, China 2. Department of Mathematical and Statistical, Central South University, Changsha, 410083, China 3. School of Mathematical and Statistical, Central South University, Changsha, 410083, China |
| Abstract: | GVW algorithm was given by Gao, Wang, and Volny in computing a Gröbner bases for ideal in a polynomial ring, which is much faster and more simple than F5. In this paper, the authors generalize GVW algorithm and present an algorithm to compute a Gröbner bases for ideal when the coefficient ring is a principal ideal domain. |
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