Homological Associativity of Differential Graded Algebras and Gröbner Bases
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910467240230912 |
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| author | Nelson, Michael |
| author_facet | Nelson, Michael |
| contents | We investigate associativity of multiplications on chain complexes over commutative noetherian rings from two perspectives. First, we introduce a natural associator subcomplex and show how its homology can detect associativity. Second, we use Gröbner bases to compute associators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00141 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological Associativity of Differential Graded Algebras and Gröbner Bases Nelson, Michael Commutative Algebra We investigate associativity of multiplications on chain complexes over commutative noetherian rings from two perspectives. First, we introduce a natural associator subcomplex and show how its homology can detect associativity. Second, we use Gröbner bases to compute associators. |
| title | Homological Associativity of Differential Graded Algebras and Gröbner Bases |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2406.00141 |