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https://research.matf.bg.ac.rs/handle/123456789/198| Title: | Commutative Von Neumann Regular Rings are 1-Gröbner | Authors: | Petrović, Zoran Roslavcev, Maja |
Affiliations: | Algebra and Mathematical Logic Algebra and Mathematical Logic |
Keywords: | Gröbner bases;Von neumann regular ring | Issue Date: | 2022 | Journal: | Applicable Analysis and Discrete Mathematics | Abstract: | Let R be a commutative von Neumann regular ring. We show that every finitely generated ideal I in the ring of polynomials R[X] has a strong Gröbner basis. We prove this result using only the defining property of a von Neumann regular ring |
URI: | https://research.matf.bg.ac.rs/handle/123456789/198 | ISSN: | 14528630 | DOI: | 10.2298/AADM210419030P |
| Appears in Collections: | Research outputs |
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