Krull-Schmidt uniqueness fails dramatically over subrings of $Z\oplus\ldots\oplus Z$

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Standard Components of a Krull-schmidt Category

First, for a general Krull-Schmidt category, we provide criteria for an Auslander-Reiten component with sections to be standard. Specializing to the category of finitely presented representations of a strongly locally finite quiver and its bounded derived category, we obtain many new types of standard Auslander-Reiten components. Finally, specialized to the module category of a finite-dimension...

متن کامل

Krull-schmidt Decompositions for Thick Subcategories

Following Krause [Kra99], we prove Krull-Schmidt theorems for thick subcategories of various triangulated categories: derived categories of rings, noetherian stable homotopy categories, stable module categories over Hopf algebras, and the stable homotopy category of spectra. In all these categories, it is shown that the thick ideals of small objects decompose uniquely into indecomposable thick ...

متن کامل

Krull-schmidt Categories and Projective Covers

Krull-Schmidt categories are additive categories such that each object decomposes into a finite direct sum of indecomposable objects having local endomorphism rings. We provide a self-contained introduction which is based on the concept of a projective cover.

متن کامل

On the Uniqueness of Countable, Darboux Subrings

Let m be an Erdős, bijective domain. It is well known that |N ′| 6= b′. We show that T > 1. Recent interest in manifolds has centered on deriving random variables. Recently, there has been much interest in the description of injective fields.

متن کامل

The Remak-Krull-Schmidt Theorem on\ Fuzzy Groups

In this paper we study a representation of a fuzzy subgroup $mu$ of a group $G$, as a product of indecomposable fuzzy subgroups called the components of $mu$.  This representation is unique up to the number of components and their isomorphic copies. In the crisp group theory, this is a well-known Theorem attributed to Remak, Krull, and Schmidt. We consider the lattice of fuzzy subgroups and som...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Rocky Mountain Journal of Mathematics

سال: 1983

ISSN: 0035-7596

DOI: 10.1216/rmj-1983-13-4-659