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13
THE RESEARCH GROUP OF ALGEBRAIC STRUCTURES WITH OR WITHOUT TOPOLOGY

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Page 1: TLU algebraic

THE RESEARCH GROUPOF ALGEBRAIC STRUCTURES

WITH OR WITHOUT TOPOLOGY

Page 2: TLU algebraic

The group of people working on algebraic structures with or withouttopology consists of 2 persons.

Page 3: TLU algebraic

The group of people working on algebraic structures with or withouttopology consists of 2 persons.

Tatjana Tamberg (employeed by Tallinn University since 1996)

Page 4: TLU algebraic

The group of people working on algebraic structures with or withouttopology consists of 2 persons.

Tatjana Tamberg (employeed by Tallinn University since 1996)

Research field: description of some 2-groups by their endomorphismsemigroups and some groups by their defining relations.

Page 5: TLU algebraic

The group of people working on algebraic structures with or withouttopology consists of 2 persons.

Tatjana Tamberg (employeed by Tallinn University since 1996)

Research field: description of some 2-groups by their endomorphismsemigroups and some groups by their defining relations.

For example, the semigroups of the form (C2n × C2n) h C2

(C2n × C2n) h C3 or ((C2n × C2n) h C6).

Page 6: TLU algebraic

1.1. - 2 publicationsTamberg, Tatjana (2010). Finding a class of 2-groups. Proceedings of theEstonian Academy of Sciences, 59(4), 370 - 374.Gramushnjak, T.; Puusemp, P. (2006). Description of a Class of 2-Groups.Journal of Nonlinear Mathematical Physics, 13 (Supplement), 55 - 65.1.2. - 2 publicationsGramushnjak, Tatjana (2008). A characterization of a class of 2-groups bytheir defining relations. Journal of Generalized Lie Theory and Applications,2(3), 157 - 161.Gramunjak, Tatjana; Puusemp, Peeter (2005). A characterization of a class ofgroups of order 32 by their endomorphism semigroups. Algebras, Groups andGeometries, 22(4), 387 - 412.2.3. - 1 publicationsTamberg, Tatjana (2012). Some Classes of Finite 2-Groups and TheirEndomorphism Semigroups., PhD Thesis, Tallinn: TTU Press.3.1. - 2 publications

Gramushnjak, T.; Puusemp, P. (2009). A Characterization of a Class of

2-Groups by Their Endomorphism Semigroups. Silvestrov, S.; Paal, E.;

Abramov, V.; Stolin, A. (Eds.). Generalized Lie Theory in Mathematics,

Physics and Beyond (151 - 159). Springer.

Page 7: TLU algebraic

Mart Abel (employeed by Tallinn University since 2012)

Page 8: TLU algebraic

Mart Abel (employeed by Tallinn University since 2012)

Research field: various problems connected with algebras and rings,mainly with topology, but sometimes also without topology.

Page 9: TLU algebraic

Mart Abel (employeed by Tallinn University since 2012)

Research field: various problems connected with algebras and rings,mainly with topology, but sometimes also without topology.

For example: problems with A-modules, galbed algebras, sheaves;descriptions of ideals in topological algebras; derivations on topologicalrings and topological algebras; algebraic and topological K -theory;representations of topological algebras; bundles.

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1.1. - 7 publicationsAbel, Mart; Ntumba, Patrice P. (2014). Universal problem for Kahlerdifferentials in A-modules: Non-commutative and commutative cases.International Journal of Pure and Applied Mathematics, 45, 497 - 511.Abel, Mart; Abel, Mati (2011). Ford lemma for topological *-algebras.Proceedings of the Estonian Academy of Sciences. Physics. Mathematics,60(2), 69 - 80.Abel, Mart; Abel, Mati (2010). On the equivalence of Hermitian innerproducts on topological *-algebras. Banach Journal of Mathematical Analysis,4(2), 111 - 120.Abel, M. (2010). On Splitting of Extensions of Rings and Topological Rings.Annals of Functional Analysis, 1(1), 123 - 132.Abel, M.; Lehto, V. (2007). Galbed algebras and their sectional representation.Proceedings of the Estonian Academy of Sciences. Physics. Mathematics,56(1), 3 - 16.Abel, Mart; Abel, Mati (2007). Pairs of topological algebras. Rocky MountainJournal of Mathematics, 37(1), 1 - 16.

Abel, Mart; Abel, Mati (2007). Traces of Maximal Ideals of Topological

Algebras in Their Subalgebras. Turkish Journal of Mathematics, 31(1), 79 - 88.

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1.2. - 20 publicationsAbel, Mart; Abel, Mati (2014). On a problem of Bertram Yood. TopologicalAlgebra and its Applications, 2(1), 1 - 4.Abel, Mart; Abel, Mati (2013). Gelfand-Hille type teorems for ordered unitaltopological algebras. Math. Bull. T. Shevchenko Sci. Soc., 10, 85 - 96.Abel, Mart (2012). On Pullbacks of Abelian Groups and Pushouts of Rings.Communications in Mathematics and Applications (1 - 8). Delhi, India: RGNPublications.Abel, M. (2011). On the equivalence between the categories of certain bundlesand certain sheaves. Asian-European Journal of Mathematics, 4(2), 217 - 233.Abel, Mart (2011). (δ, ε)-double derivations on topological algebras. Far EastJournal of Mathematical Sciences, 54(1), 87 - 95.Abel, Mart; Abel, Mati; Tammo, Paul (2011). On representations oftopological algebras. Far East Journal of Mathematical Sciences, 57(1), 49 -61.Abel, Mart (2011). (δ, ε)-double Derivations on Topological Rings. Bulletin ofCalcutta Mathematical Society, 103, 501 - 508.Abel, M. (2010). On the equivalence between the categories of locally sliceablefiber spaces and sheaves of sets. Asian-European Journal of Mathematics, 3,521 - 530.

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Abel, Mart; Abel, Mati; Tammo, Paul (2010). Closed ideals in algebras ofSections. Rendiconti del Circolo Matematico di Palermo, 59(3), 405 - 418.Abel, M. (2009). Generalization of the Serre-Swan-Mallios theorem for sheavesand presheaves. Asian-European Journal of Mathematics, 2(4), 535 - 544.Abel, Mart; Abel, Mati (2009). Modified definition of an A-bundle and aversion of the Serre-Swan-Mallios Theorem for general topological algebras.Rendiconti del Circolo Matematico di Palermo, 58(3), 345 - 360.Abel, M. (2008). On module bundles and topological K-theory. Rendiconti delCircolo Matematico di Palermo, 57(1), 83 - 101.Abel, Mart; Abel, Mati (2007). On the Sheaf of Extendible Ideals ofTopological Algebras. Rendiconti del Circolo Matematico di Palermo, 56, 207 -218.Abel, M. (2006). On the center of galbed algebras. Bulletin of the GreekMathematical Society, 52, 3 - 8.Abel, M. (2006). A generalization of the Serre-Swan-Mallios theorem.Rendiconti del Circolo Matematico di Palermo, 55, 203 - 222.Abel, Mart; Abel, Mati (2006). On galbed algebras and galbed spaces.Bulletin of the Greek Mathematical Society, 52, 9 - 23.Abel, Mart; Abel, Mati (2006). The Center of Topologically PrimitiveExponentially Galbed Algebras. International Journal of Mathematics andMathematical Sciences, Volume 2006, 1 - 10.Abel, M. (2005). The center of topologically primitive galbed algebras.Topological Algebras, their Applications, and Related Topics, 67, 45 - 54.Abel, M. (2005). On a category of module bundles. Rendiconti del CircoloMatematico di Palermo, 54, 409 - 429.

Abel, M.; Mallios, A. (2005). On finitely generated projective modules.

Rendiconti del Circolo Matematico di Palermo, 54(2), 145 - 166.

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3.1. - 1 publicationAbel, M. (2007). On Serre-Swan-Mallios Theorem. Topological Algebras andApplications. Fifth International Conference on Topological Algebras andApplications, June 27-July 1, 2005, Athens, Greece (7 - 14). Providence:American Mathematical Society3.4. - 7 publicationsAbel, Mart (2014). On the properties of topological rings and topologicalalgebras with sandwich multiplication. Abel, Mart (Eds.). Proceedings of theICTAA 2013 (39 - 48). Tartu: TU Kirjastus.Abel, Mart (2014). On compact and precompact elements in topologicalalgebras. Abel, Mart (Eds.). Proceedings of the ICTAA 2013 (26 - 38). Tartu:TU Kirjastus.Abel, M. (2008). On Module Bundles and Exact Sequences. In: ICTAA 2008,Proceedings, Tartu 2008. Tartu: Est. Math. Soc., 2008, (MathematicsStudies; 4), 13 - 17.Abel, M. (2008). On Algebraic K-Theory. In: ICTAA 2008, Proceedings, Tartu2008. Tartu: Est. Math. Soc., 2008, (Mathematics Studies; 4), 7 - 12.4.2. - 2 publicationsAbel, Mart (2014). Proceedings of the ICTAA 2013. Tartu: TU Kirjastus.

Abel, M. (Ed.) (2008). ICTAA 2008, Proceedings, Tartu 2008. Tartu: EMS.