تقرير
Modules over some group rings having d-generator property
| العنوان: | Modules over some group rings having d-generator property |
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| المؤلفون: | Bovdi, V. A., Kurdachenko, L. A. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, Mathematics - Rings and Algebras, Mathematics - Representation Theory, 20C05, 20F50 Secondary: 20D25, 16D10, 16D70, 16D80 |
| الوصف: | For modules over group rings we introduce the following numerical parameter. We say that a module A over a ring R has finite r-generator property if each f.g. (finitely generated) R-submodule of A can be generated exactly by r elements and there exists a f.g. R-submodule D of A, which has a minimal generating subset, consisting exactly of r elements. Let FG be the group algebra of a finite group G over a field F. In the present paper modules over the algebra FG having finite generator property are described. Comment: 11 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2104.04185 |
| رقم الأكسشن: | edsarx.2104.04185 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |