Globalizations of Partial Actions on Nonunital Rings

نویسندگان

  • MICHAEL DOKUCHAEV
  • JUAN JACOBO SIMÓN
چکیده

In this note we prove a criteria for the existence of a globalization for a given partial action of a group on an s-unital ring. If the globalization exists, it is unique in a natural sense. This extends the globalization theorem from Dokuchaev and Exel, 2005, obtained in the context of rings with 1.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

($phi,rho$)-Representation of $Gamma$-So-Rings

A $Gamma$-so-ring is a structure possessing a natural partial ordering, an infinitary partial addition and a ternary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional composition is a $Gamma$-so-ring. In this paper we introduce the notions of subdirect product and $(phi,rho)$-product of $Gamma$-so-rings and study $(phi,rho)$-represen...

متن کامل

Partial Actions and Power Sets

Partial actions of groups appeared independently in various areas of mathematics, in particular, in the study of operator algebras. The formal definition of this concept was given by Exel in 1998 [1]. Later in 2003, Abadie [2] introduced the notion of enveloping action and found that any partial action possesses an enveloping action. The study of partial actions on arbitrary rings was initiated...

متن کامل

Partial actions of groups on algebras, a survey

In this survey paper we define partial actions of groups on algebras and give several related results. For any partial action a partial skew group ring is defined. This partial skew group ring is not always associative. Conditions under which associativity holds are studied. Several other questions are considered like, for example, enveloping actions and properties of partial skew group rings.

متن کامل

The Messy Relationship between Feminisms and Globalizations

With some exceptions, feminist scholars have written either about gender and globalizations or about transnational feminisms but rarely examined the relationship between them. In this essay, the author wants to reflect on this relationship to highlight how they have shaped each other. She suggests that feminisms are important force-shaping globalizations. At the same time, the relationship betw...

متن کامل

THE TANGENT COMPLEX AND HOCHSCHILD COHOMOLOGY OF En-RINGS

In this work, we study the deformation theory of En-rings and the En analogue of the tangent complex, or topological André-Quillen cohomology. We prove a generalization of a conjecture of Kontsevich, that there is a fiber sequence A[n − 1] → TA → HHEn (A)[n], relating the En-tangent complex and En-Hochschild cohomology of an En-ring A. We give two proofs: The first is direct, reducing the probl...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006