Internal Topology on MI-groups

نویسندگان

چکیده مقاله:

An MI-group is an algebraic structure based on a generalization of the concept of a monoid that satisfies the cancellation laws and is endowed with an invertible anti-automorphism representing inversion. In this paper, a topology is defined on an MI-group $G$ under which $G$ is  a topological MI-group. Then we will identify open, discrete and compact MI-subgroups. The connected components of the elements of $G$ and connected MI-groups are also identified. Some features of the maximal MI-subgroups and ideals of a topological MI-group are investigated as well. Finally, some theorems about automatic continuity will be introduced.

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

Sofic groups and profinite topology on free groups

We give a definition of weakly sofic groups (w-sofic groups). Our definition is rather natural extension of the definition of sofic groups where instead of Hamming metric on symmetric groups we use general bi-invariant metrics on finite groups. The existence of non w-sofic groups is equivalent to some conjecture about profinite topology on free groups.

متن کامل

On a dynamic topology of covert groups

The problem of detecting hidden communities in large-scale networks has a long history in traffic analysis from secret societies evading detection to spy agencies datamining call record information looking for criminals. Graph theoretic partitioning is a well studied topic in both computer science and sociology. However, these methods are based on discovering communities by the narrow intuition...

متن کامل

Heisenberg Groups and Algebraic Topology

We study the Madsen-Tillmann spectrum CP∞ −1 as a quotient of the Mahowald pro-object CP∞ −∞ , which is closely related to the Tate cohomology of circle actions. That theory has an associated symplectic structure, whose symmetries define the Virasoro operations on the cohomology of moduli space constructed by Kontsevich and Witten.

متن کامل

Free Internal Groups

In the first part of this note an elementary proof is given of the fact that algebraic functors, that is, functors induced by morphisms of Lawvere theories, have left adjoints provided that the category K in which the models of these theories take their values is locally presentable. The main focus however lies on the special cases of the underlying functor of the category Grp(K) of internal gr...

متن کامل

The Topology of Transformation Groups*

1. Stated in general terms, the problem which I wish to consider is the following: A group G of transformations operates in a space 5 ; what relations must exist between the topology of this situation on the one hand, and its group theoretical properties, on the other? This is of course a rather vague question and I shall not attempt to describe all the recent results which could be considered ...

متن کامل

منابع من

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

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 5  شماره 2

صفحات  55- 78

تاریخ انتشار 2018-10-01

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023