An introduction to reciprocal complements of integral domains
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911336055701504 |
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| author | Epstein, Neil Guerrieri, Lorenzo |
| author_facet | Epstein, Neil Guerrieri, Lorenzo |
| contents | Given an integral domain $D$ with fraction field $F$, its *reciprocal complement* is the subring of $F$ generated by all $1/d$ for nonzero $d$ in $D$. This paper serves doubly as a survey of the current state of the field and an update with new results and connections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20801 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An introduction to reciprocal complements of integral domains Epstein, Neil Guerrieri, Lorenzo Commutative Algebra Given an integral domain $D$ with fraction field $F$, its *reciprocal complement* is the subring of $F$ generated by all $1/d$ for nonzero $d$ in $D$. This paper serves doubly as a survey of the current state of the field and an update with new results and connections. |
| title | An introduction to reciprocal complements of integral domains |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2512.20801 |