تقرير
Trivial extensions of monomial algebras are symmetric fractional Brauer configuration algebras of type S
| العنوان: | Trivial extensions of monomial algebras are symmetric fractional Brauer configuration algebras of type S |
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| المؤلفون: | Liu, Yuming, Xing, Bohan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 16G20, 16G10, 16S99 |
| الوصف: | By giving some equivalent definitions of fractional Brauer configuration algebras of type S in some special cases, we construct a fractional Brauer configuration from any monomial algebra. We show that this algebra is isomorphic to the trivial extension of the given monomial algebra. Moreover, we show that there exists a one-to-one correspondence between the isomorphism classes of monomial algebras and the equivalence classes of pairs consisting of a symmetric fractional Brauer configuration algebra of type S with trivial degree function and a given admissible cut over it. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.02537 |
| رقم الأكسشن: | edsarx.2408.02537 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |