کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414536 1630491 2015 41 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On lattices over valuation rings of arbitrary rank
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On lattices over valuation rings of arbitrary rank
چکیده انگلیسی

We show how several results about p-adic lattices generalize easily to lattices over valuation ring of arbitrary rank having only the Henselian property for quadratic polynomials. If 2 is invertible we obtain the uniqueness of the Jordan decomposition and the Witt Cancellation Theorem. We show that the isomorphism classes of indecomposable rank 2 lattices over such a ring in which 2 is not invertible are characterized by two invariants, provided that the lattices contain a primitive norm divisible by 2 of maximal valuation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 423, 1 February 2015, Pages 812-852
نویسندگان
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