A dichotomy for Polish modules

نویسندگان

چکیده

Let R be a ring equipped with proper norm. We show that under suitable conditions on R, there is natural basis continuous linear injection for the set of Polish R-modules which are not countably generated. When division ring, this can taken to singleton.

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

a structural survey of the polish posters

تصویرسازی قابلیتهای فراوانی را دارا است

15 صفحه اول

Modules for which every non-cosingular submodule is a summand

‎A module $M$ is lifting if and only if $M$ is amply supplemented and‎ ‎every coclosed submodule of $M$ is a direct summand‎. ‎In this paper‎, ‎we are‎ ‎interested in a generalization of lifting modules by removing the condition‎"‎amply supplemented‎" ‎and just focus on modules such that every non-cosingular‎ ‎submodule of them is a summand‎. ‎We call these modules NS‎. ‎We investigate some gen...

متن کامل

A Submodule-Based Zero Divisors Graph for Modules

‎Let $R$ be commutative ring with identity and $M$ be an $R$-module‎. ‎The zero divisor graph of $M$ is denoted $Gamma{(M)}$‎. ‎In this study‎, ‎we are going to generalize the zero divisor graph $Gamma(M)$ to submodule-based zero divisor graph $Gamma(M‎, ‎N)$ by replacing elements whose product is zero with elements whose product is in some submodules $N$ of $M$‎. ‎The main objective of this pa...

متن کامل

Dichotomy for Voting Systems

Scoring protocols are a broad class of voting systems. Each is defined by a vector (α1, α2, . . . , αm), α1 ≥ α2 ≥ · · · ≥ αm, of integers such that each voter contributes α1 points to his/her first choice, α2 points to his/her second choice, and so on, and any candidate receiving the most points is a winner. What is it about scoring-protocol election systems that makes some have the desirable ...

متن کامل

A Control Dichotomy for Pure Scoring Rules

Scoring systems are an extremely important class of election systems. A length-m (so-called) scoring vector applies only to m-candidate elections. To handle general elections, one must use a family of vectors, one per length. The most elegant approach to making sure such families are “family-like” is the recently introduced notion of (polynomial-time uniform) pure scoring rules [BD10], where ea...

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: Israel Journal of Mathematics

سال: 2022

ISSN: ['1565-8511', '0021-2172']

DOI: https://doi.org/10.1007/s11856-022-2411-6