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.
|Published (Last):||4 May 2005|
|PDF File Size:||14.90 Mb|
|ePub File Size:||13.76 Mb|
|Price:||Free* [*Free Regsitration Required]|
Algebraic structure of pseudocomp by Dikran N Dikranjan Book 1 edition published in in English and held by 1 WorldCat member library worldwide. We show that totally minimal Abelian groups often have a suitable set. Most widely held dikfan by Dikran N Dikranjan. The authors investigate properties of abelian convergence groups that contain a dense subgroup which is coarse.
Knowledge of algebra, topology, and the basic notions of category theory is assumed.
We prove that the positive answer to this question is equivalent to non-existence of measurable cardinals. 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 algwbra of totally disconnected compact groups.
: Dikran Dikranjan: Books
Algebraic structure of pseudocompact groups by Dikran N Dikranjan Book 12 editions published in in English and held by WorldCat member libraries worldwide. This volume will be of interest to graduate students and professional researchers in many branches of mathematics and theoretical computer science. The problem of stability of these classes under the product, arimtetica sum operations and taking subgroups or quotients is investigated.
We also give a complete description of the structure of the transversable locally compact Abelian groups.
Continuous maps in the Bohr topology by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member library worldwide. The construction is delicate, as these subgroups must have dikeanjan convergent sequences in some models of ZFC. As applications we give new proofs of the connection between the algebraic and the topological airtmetica in the abelian case and of the connection of the topological entropy with the finite depth for topological automorphisms.
More generally, the Bohr topology of every locally compact Abelian group admits a suitable set.
It is also proved that every Abelian group endowed with the finest totally bounded group topology has a closed generating suitable set. The relationship between coarseness and completeness is investigated.
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. Some examples are discussed.
Dikran N. Dikranjan (Author of Aritmetica E Algebra)
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. In particular, closure operators are used to give solutions to the epimorphism and co-well-poweredness problem in many concrete categories.
All topological groups considered in this chapter are assumed to be Hausdorff. Weakly complete free topological groups by Dikran N Dikranjan 1 edition published in in English and held by 1 WorldCat member dikkran worldwide. Abelian groups, module theory, and topology: Project Page Feedback Known Problems.
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: Categorical structure of closure operators: AuthorEditorDedicateeHonoreeOther.
It is shown that divisible coarse convergence groups are complete. 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.
As an application we answer the question posed in Pseudocompact and countably compact abelian groups: This answers two questions posed by Dikranjan and Shakhmatov Proc.
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. 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.
Cartesian products and minimality, Trans.