تقرير
A classification of module braces over the ring of $\mathbf{p}$-adic integers
| العنوان: | A classification of module braces over the ring of $\mathbf{p}$-adic integers |
|---|---|
| المؤلفون: | Aragona, Riccardo, Gavioli, Norberto, Nozzi, Giuseppe |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Rings and Algebras, 16N20, 20N99, 20B35, 20K30, 15A63, 11E08 |
| الوصف: | In this paper we study the $R$-braces $(M,+,\circ)$ such that $M\cdot M$ is cyclic, where $R$ is the ring of $p$-adic and $\cdot$ is the product of the radical $R$-algebra associated to $M$. In particular, we give a classification up to isomorphism in the torsion-free case and up to isoclinism in the torsion case. More precisely, the isomorphism classes and the isoclinism classes of such radical algebras are in correspondence with particular equivalence classes of the bilinear forms defined starting from the products of the algebras. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.04925 |
| رقم الأكسشن: | edsarx.2406.04925 |
| قاعدة البيانات: | arXiv |
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