{"product_id":"groups-of-units-in-totally-bounded-rings-von-adela-tripe","title":"Groups of units in totally bounded rings","description":"\u003cp\u003eAn important object associated to a ring is the  group of its units. Groups of units are interesting  for the following branches of mathematics: group  theory, ring theory, k-theory, representation  theory, the theory of group rings, topology, the  algebraic theory of numbers.      In general topology there exists various natural  generalizations of compact spaces: countably  compact, pseudo-compact, ¿-compact and sequentially  compact. These classes of topological groups are  interesting objects of study for the theory of  topological groups. Evidently, their topology are  more difficult in comparison with compact groups,  therefore that groups inherit some nice properties  of compact groups.     In this book we study the groups of units of  contably compact, pseudo-compact, totally bounded  and more general, linearly compact rings. The  topology of compact rings is relatively well- studied. From this point of view the topological  structure of totally bounded rings is richer and  diverse. Since the completion of a totally bounded  ring is compact, the methods of compact rings can be  applied in the study of totally bounded rings.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838368962\"\u003e\u003ch3\u003eGroups of units in countably compact rings. Units in pseudocompact and compact right topological rings.\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838368962","offer_id":39469249855581,"sku":"9783838368962","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/db0ebf18-3cef-46f4-afbe-c9fac955ccd4.jpg?v=1758777830","url":"https:\/\/shop.autorenwelt.de\/en\/products\/groups-of-units-in-totally-bounded-rings-von-adela-tripe","provider":"Autorenwelt Shop","version":"1.0","type":"link"}