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Faculty of Arts and HumanitiesDean's Office, Faculty of Arts and HumanitiesJakobi 2, r 116-121 51005 Tartu linn, Tartu linn, Tartumaa EST0Institute of History and ArchaeologyJakobi 2 51005 Tartu linn, Tartu linn, Tartumaa EST0Institute of Estonian and General LinguisticsJakobi 2, IV korrus 51005 Tartu linn, Tartu linn, Tartumaa EST0Institute of Philosophy and SemioticsJakobi 2, III korrus, ruumid 302-337 51005 Tartu linn, Tartu linn, Tartumaa EST0Institute of Cultural ResearchÜlikooli 16 51003 Tartu linn, Tartu linn, Tartumaa EST0Institute of Foreign Languages and CulturesLossi 3 51003 Tartu linn, Tartu linn, Tartumaa EST0School of Theology and Religious StudiesÜlikooli 18 50090 Tartu linn, Tartu linn, Tartumaa EST0Viljandi Culture AcademyPosti 1 71004 Viljandi linn, Viljandimaa EST0Professors emeriti, Faculty of Arts and Humanities0Associate Professors emeriti, Faculty of Arts and Humanities0Faculty of Social SciencesDean's Office, Faculty of Social SciencesLossi 36 51003 Tartu linn, Tartu linn, Tartumaa EST0Institute of EducationJakobi 5 51005 Tartu linn, Tartu linn, Tartumaa EST0Johan Skytte Institute of Political StudiesLossi 36, ruum 301 51003 Tartu linn, Tartu linn, Tartumaa EST0School of Economics and Business AdministrationNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa EST0Institute of PsychologyNäituse 2 50409 Tartu linn, Tartu linn, Tartumaa EST0School of LawNäituse 20 - 324 50409 Tartu linn, Tartu linn, Tartumaa EST0Institute of Social StudiesLossi 36 51003 Tartu linn, Tartu linn, Tartumaa EST0Narva CollegeRaekoja plats 2 20307 Narva linn, Ida-Virumaa EST0Pärnu CollegeRingi 35 80012 Pärnu linn, Pärnu linn, Pärnumaa EST0Professors emeriti, Faculty of Social Sciences0Associate Professors emeriti, Faculty of Social Sciences0Faculty of MedicineDean's Office, Faculty of MedicineRavila 19 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Biomedicine and Translational MedicineBiomeedikum, Ravila 19 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of PharmacyNooruse 1 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of DentistryL. Puusepa 1a 50406 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Clinical MedicineL. Puusepa 8 50406 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Family Medicine and Public HealthRavila 19 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Sport Sciences and PhysiotherapyUjula 4 51008 Tartu linn, Tartu linn, Tartumaa ESTProfessors emeriti, Faculty of Medicine0Associate Professors emeriti, Faculty of Medicine0Faculty of Science and TechnologyDean's Office, Faculty of Science and TechnologyVanemuise 46 - 208 51003 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Computer ScienceNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa ESTInstitute of GenomicsRiia 23b/2 51010 Tartu linn, Tartu linn, Tartumaa ESTEstonian Marine Institute0Institute of PhysicsInstitute of ChemistryRavila 14a 50411 Tartu linn, Tartu linn, Tartumaa EST0Institute of Mathematics and StatisticsNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa EST0Institute of Molecular and Cell BiologyRiia 23, 23b - 134 51010 Tartu linn, Tartu linn, Tartumaa ESTTartu ObservatoryObservatooriumi 1 61602 Tõravere alevik, Nõo vald, Tartumaa EST0Institute of TechnologyNooruse 1 50411 Tartu linn, Tartu linn, Tartumaa ESTInstitute of Ecology and Earth SciencesJ. Liivi tn 2 50409 Tartu linn, Tartu linn, Tartumaa ESTProfessors emeriti, Faculty of Science and Technology0Associate Professors emeriti, Faculty of Science and Technology0Institute of BioengineeringArea of Academic SecretaryHuman Resources OfficeUppsala 6, Lossi 36 51003 Tartu linn, Tartu linn, Tartumaa EST0Area of Head of FinanceFinance Office0Area of Director of AdministrationInformation Technology Office0Administrative OfficeÜlikooli 17 (III korrus) 51005 Tartu linn, Tartu linn, Tartumaa EST0Estates Office0Marketing and Communication OfficeÜlikooli 18, ruumid 102, 104, 209, 210 50090 Tartu linn, Tartu linn, Tartumaa EST0Area of RectorRector's Strategy OfficeInternal Audit OfficeArea of Vice Rector for Academic AffairsOffice of Academic AffairsUniversity of Tartu Youth AcademyUppsala 10 51003 Tartu linn, Tartu linn, Tartumaa EST0Student Union OfficeÜlikooli 18b 51005 Tartu linn, Tartu linn, Tartumaa EST0Centre for Learning and TeachingArea of Vice Rector for ResearchUniversity of Tartu LibraryW. Struve 1 50091 Tartu linn, Tartu linn, Tartumaa EST0Grant OfficeArea of Vice Rector for DevelopmentCentre for Entrepreneurship and InnovationNarva mnt 18 51009 Tartu linn, Tartu linn, Tartumaa EST0University of Tartu Natural History Museum and Botanical GardenVanemuise 46 51003 Tartu linn, Tartu linn, Tartumaa EST0International Cooperation and Protocol Office0University of Tartu MuseumLossi 25 51003 Tartu linn, Tartu linn, Tartumaa EST0
Algebra
14.12.2021
Algebra research group is mainly interested in semigroup theory, universal algebra, and category theory, but also some problems in lattice theory and ring theory.
Research Group staff
- Professor Valdis Laan (Head of Research Group)
- Professor Emeritus Kalle Kaarli
- Lecturer Lauri Tart
- Lecturer Alvin Lepik
- Research Fellow Ülo Reimaa
- Research Fellow Nasir Sohail
- Research Fellow Kristo Väljako
- MSc student Marilyn Kutti
- MSc student Heleen Saarse
- MSc student Urmas Luhaäär
Topics:
- Morita theory of semigroups;
- Morita theory of nonunital rings;
- structure theory of semigroups;
- acts over semigroups;
- tolerances on complete lattices;
- completions of ordered algebraic structures;
- categorical equivalence of universal algebras;
- structures in higher categories;
- categorical algebra.
Research Group projects
Current projects
- PRG1204 Morita theory of semigroups and other structures
- PUTJD948 Lax monoidal structures and problems in a semi-abelian setting
Main past projects
- ETF8394 Categorical equivalence problems in algebra (01.2010-12.2013)
- PUT1519 Morita equivalence of semigroups (01.2017-12.2020)
- Exchange program between Estonian and Hungarian Academies of Sciences
- Project „Restriction semigroups: structure and interaction with order, topology, and actions“ in collaboration with Ganna Kudryavtseva from Slovenia
- PUTJD948 Lax monoidal structures and problems in a semi-abelian setting (1.07.2020−30.06.2022)
Theodor Molien (1861-1941), a prominent algebraist, began his mathematical career in Tartu.
The algebra research group of the University of Tartu started in 1955 when Jaak Hion started working here. Over time, Vladimir Fleischer, Uno Kaljulaid, Mati Kilp, Vladimir Kuchmei, Uve Nummert and Raul Roomeldi have belonged to the group.
Seminar on Algebra
In seminar talks, we consider mainly the newest scientific results of the algebraists and graduate students of the University of Tartu about Morita equivalence of semigroups and rings. The talks will be delivered both by faculty members and students.