کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10118866 | 1633559 | 2005 | 48 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Subgroups of the additive group of a separably closed field
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
منطق ریاضی
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چکیده انگلیسی
We study the infinitely definable subgroups of the additive group in a separably closed field of finite positive imperfection degree. We give some constructions of families of such subgroups which confirm the diversity and the richness of this class of groups. We show in particular that there exists a locally modular minimal subgroup such that the division ring of its quasi-endomorphisms is not a fraction field of the ring of its definable endomorphisms, and that in contrast there exist 2âµ0 pairwise orthogonal locally modular minimal subgroups whose induced structure is exactly that of anFp-vector space. We also show that there exist infinitely many pairwise orthogonal subgroups of infinite U-rank. Furthermore, these constructions are carried out in the additive group considered as a module over its ring of definable endomorphisms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 134, Issues 2â3, July 2005, Pages 169-216
Journal: Annals of Pure and Applied Logic - Volume 134, Issues 2â3, July 2005, Pages 169-216
نویسندگان
Thomas Blossier,