The theory of rings of quotients has its origin in the work of (j). Ore and K. Asano on the
construction of the total ring of fractions, in the 1930's and 40's. But the subject did not really …

The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

A continuous resp. discrete r-dimensional (r≥ 1) system is the solution space of a system of
linear partial differential resp. difference equations with constant coefficients for a vector of …

We develop a technique for the study of K-coalgebras and their representation types by
applying a quiver technique and topologically pseudocompact modules over …

We consider a complete category $\mathcal {A} $. For each object $ I $ of $\mathcal {A} $ we
define a functor $ Q:\mathcal {A}\to\mathcal {A} $ and obtain a necessary and sufficient …

Rings have a unit and modules are unitary. Here follow the concepts which are studied in
this note. If R is a ring if M is a left Λ-module then M is left coperfect if the dcc (descending …

Quillen [35] from a category C, usually the category of simplicial sets or of chain complexes
over some ring, to give a homotopy theory or homo-topical algebra in pro (C).(It is worth …

3. RESULTS We start by answering negatively the question of Colby and Fuller referred to
above, in the simpler case of abelian categories. EXAMPLE 1. Let~ 2 be the full subcategory …

In this work we study (left) linearly compact (ie) rings giving contributions in the following
three directions. A theorem of representation of any 1. e. ring as the endo-morphism ring of a …

Every duality between a full subcategory B of topological R-modules and a full subcategory
D of Mod-S which contains S and is closed under isomorphisms is determined in a natural …