Aritmetica e algebra by M. Silvia Lucido Dikran Dikranjan at – ISBN – ISBN – Liguori – – Softcover. Aritmetica e algebra: M. Silvia Lucido Dikran Dikranjan: Books – Aritmetica e algebra (Italian) Paperback – Jan 1 Dikran N. Dikranjan is the author of Aritmetica E Algebra ( avg rating, 1 rating , 0 reviews, published ), Algebraic Structure Of Pseudocompact Gr.

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Knowledge of algebra, topology, and the basic notions of category theory is assumed.

Some examples are discussed. Continuous maps in the Bohr topology by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide. We also give a complete description of the structure of the transversable locally compact Abelian groups.

English 73 Italian 3. We show that an infinite totally bounded topological group never admits a transversal group topology and we obtain a new criterion for precompactness algerba lattice-theoretical terms the existence of transversal group topologies for a large class of Abelian groups containing all divisible and all finitely generated groups.

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## Aritmetica E Algebra Dikran Dikranjan M Silvia LUCIDO

Crediamo sia utile avere in un unico volume sia il testo sia gli esercizi con gli svolgimenti. The problem of stability of these classes under the product, direct sum operations and taking subgroups or quotients is investigated. All topological groups considered in this dikranjaan are assumed to be Hausdorff. The material is illustrated with many examples and exercises, and open problems are formulated which should stimulate further research.

The relationship between coarseness and completeness is investigated. As an application we answer the question posed in Pseudocompact and countably compact abelian groups: This result is used to give conditions under which coarseness is preserved by products.

It is shown that divisible coarse convergence groups are complete. We show that totally minimal Abelian groups often have a suitable set.

### Dikranjan, Dikran N. [WorldCat Identities]

On convergence groups with dense coarse subgroups by Dikran Dikfan Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide A convergence group is a group endowed with a sequential convergence structure that is compatible with the group operations. Categorical structure of closure operators with applications to topology, algebra, and discrete mathematics by Dikran N Dikranjan Book 15 editions published between and in English and held by WorldCat member libraries worldwide This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs.

Algebraic structure of small countably compact abelian groups by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide.

More generally, the Bohr topology of every locally compact Abelian group admits a suitable set. As applications we give new proofs of the connection between the algebraic and the topological entropy in the abelian case and of the connection of the topological entropy with the finite depth for topological automorphisms.

It is also proved that every Abelian group endowed with the finest totally bounded group topology has a closed generating suitable set. Weakly complete free topological groups by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide. AuthorEditorDedicateeHonoreeAriymetica.

This answers two questions posed by Dikranjan and Shakhmatov Proc.

The construction is delicate, as these subgroups must have non-trivial convergent sequences in some models of ZFC. Abelian groups, module theory, and topology: Selected topics from the structure theory of topological groups by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide This article contains open problems and questions covering the following topics: We show that this growth can be either polynomial or exponential.

Categorical structure of closure operators: Algebraic structure of pseudocomp by Dikran N Dikranjan Book 1 edition published in in English and held by 1 WorldCat member library worldwide.

Nei primi tre capitoli s’introducono i concetti alla base di ogni altro corso di matematica che possono coprire un corso bimestrale di Aritmetica. I capitoli sono pensati per un corso bimestrale di Algebra 1 gruppi e cennisulle strutture algebrichementre i capitoli sono pensati per un corso bimestrale di Algebra 2 anelli e campi. In particular, closure operators are used to give solutions to the epimorphism and co-well-poweredness problem in many concrete categories.

Alla fine d’ogni capitolo riportiamo molti esercizi che riguardano il materiale esposto nel capitolo stesso. We prove that the positive answer to this question is equivalent to non-existence of measurable dikrajan.

## Dikranjan, Dikran N. 1950-

Algebraic structure of pseudocompact groups by Dikran N Dikranjan Book 12 editions published in in English and held by WorldCat member libraries worldwide. Project Page Feedback Known Problems. Cartesian products and minimality, Trans.