Almost Gorenstein simplicial semigroup rings
We give a criterion for almost Gorenstein property for semigroup rings associated with simplicial semigroups. We extend Nari's theorem for almost symmetric numerical semigroups to simplicial semigroups with higher rank. By this criterion, we determine $2$-dimensional normal semigroup rings whic...
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| creator | Eto, Kazufumi Matsuoka, Naoyuki Numata, Takahiro Watanabe, Kei-ichi |
| description | We give a criterion for almost Gorenstein property for semigroup rings
associated with simplicial semigroups. We extend Nari's theorem for almost
symmetric numerical semigroups to simplicial semigroups with higher rank. By
this criterion, we determine $2$-dimensional normal semigroup rings which have
``Ulrich elements'' defined in [Herzog-Jafari-Stamate]. |
| doi_str_mv | 10.48550/arxiv.2406.05781 |
| format | Article |
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associated with simplicial semigroups. We extend Nari's theorem for almost
symmetric numerical semigroups to simplicial semigroups with higher rank. By
this criterion, we determine $2$-dimensional normal semigroup rings which have
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associated with simplicial semigroups. We extend Nari's theorem for almost
symmetric numerical semigroups to simplicial semigroups with higher rank. By
this criterion, we determine $2$-dimensional normal semigroup rings which have
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associated with simplicial semigroups. We extend Nari's theorem for almost
symmetric numerical semigroups to simplicial semigroups with higher rank. By
this criterion, we determine $2$-dimensional normal semigroup rings which have
``Ulrich elements'' defined in [Herzog-Jafari-Stamate].</abstract><doi>10.48550/arxiv.2406.05781</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Commutative Algebra |
| title | Almost Gorenstein simplicial semigroup rings |
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