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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It is also proved that every Abelian group endowed with the finest totally bounded group topology has a closed generating suitable set. The construction is delicate, as these subgroups must have non-trivial convergent sequences in some models of ZFC. Most widely held works by Dikran N Dikranjan. Project Page Feedback Known Problems. Cartesian products and minimality, Trans. More generally, the Bohr topology of every locally compact Abelian group admits a suitable set.

Some examples are discussed. We show that an infinite totally bounded topological group never admits a transversal group topology and we obtain a new criterion for precompactness in lattice-theoretical terms the existence of transversal group topologies for a large class of Abelian groups containing all divisible and all finitely generated groups. Categorical structure of closure operators with qlgebra 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.

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Categorical structure of closure operators: This answers two questions posed by Dikranjan and Shakhmatov Proc. Algebraic structure of pseudocompact groups by Dikran N Dikranjan Book 12 editions published in in English and held by WorldCat rikran libraries worldwide. This result is used to give conditions under which coarseness is preserved by products.

We show that totally minimal Abelian groups often have a suitable set. Alla fine d’ogni capitolo riportiamo molti esercizi che riguardano il materiale esposto nel capitolo stesso. In particular, closure operators are used to give solutions to the epimorphism and co-well-poweredness problem in many concrete categories.

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.

## Dikranjan, Dikran N. 1950-

AuthorEditorDedicateeHonoreeOther. It is shown that divisible coarse convergence groups are complete.

Conference papers and proceedings. Weakly complete free topological groups 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.

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On convergence groups with dense coarse subgroups by Dikran N 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. The authors investigate properties of abelian convergence groups that contain a dense subgroup which is coarse. We prove that the positive answer to this question is equivalent to non-existence of measurable cardinals.

In this case the description is obtained by means of a functorial correspondence, based on Pontryagin duality, between topological and linearly topologized groups introduced by Tonolo. This arutmetica will be of interest to graduate students and professional diikran in many branches of mathematics and theoretical computer science. All topological groups considered in this algeebra are assumed to be Hausdorff. We show that this growth can be either polynomial or exponential. Nei primi xikranjan capitoli s’introducono i concetti alla base di ogni altro corso di matematica che possono coprire un corso bimestrale di Aritmetica.

Abelian groups, module theory, and topology: As an application we answer the question posed in Pseudocompact and countably compact abelian groups: English 73 Italian 3. The problem of stability of these classes under the product, direct sum operations and taking subgroups or quotients is investigated.

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. 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.

The material is illustrated with many examples and exercises, and open problems are formulated which should stimulate further research.

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

### Dikran N. Dikranjan (Author of Aritmetica E Algebra)

Continuous maps in the Bohr topology by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide. Crediamo sia utile avere in un unico volume sia il testo sia gli esercizi con gli svolgimenti.

Knowledge of algebra, algebta, and the basic notions of category theory is assumed. Limit free computation of entropy by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide Various limit-free formulas are given for the computation of the algebraic and the topological entropy, respectively in the settings of endomorphisms of locally finite discrete groups and of continuous endomorphisms of totally disconnected compact groups.

Selected topics from the structure theory of topological groups by Arit,etica 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: The relationship between coarseness and completeness is investigated.