Edit Profile (opens in new tab) Abel, Mart Compute Distance To: Compute Author ID: abel.mart Published as: Abel, Mart; Abel, M. Homepage: https://www.etis.ee/CV/Mart_Abel/ External Links: MGP · ORCID · Wikidata Documents Indexed: 64 Publications since 2001, including 1 Book 4 Contributions as Editor Reviewing Activity: 182 Reviews Co-Authors: 6 Co-Authors with 19 Joint Publications 40 Co-Co-Authors all top 5 Co-Authors 49 single-authored 14 Abel, Mati 4 Tammo, Paul 2 Ntumba, Patrice Pungu 1 Lehto, Veiko 1 Mallios, Anastasios 1 Marmor, Raido all top 5 Serials 11 Proceedings of the Estonian Academy of Sciences 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Mathematics Studies (Tartu) 3 Asian-European Journal of Mathematics 2 Periodica Mathematica Hungarica 2 Bulletin of the Greek Mathematical Society 2 Acta et Commentationes Universitatis Tartuensis de Mathematica 2 Far East Journal of Mathematical Sciences 2 Poincare Journal of Analysis and Applications 1 Indian Journal of Pure & Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Bulletin of the Calcutta Mathematical Society 1 International Journal of Mathematics and Mathematical Sciences 1 Turkish Journal of Mathematics 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Scientiae Mathematicae Japonicae 1 Dissertationes Mathematicae Universitatis Tartuensis 1 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka 1 Banach Journal of Mathematical Analysis 1 Annals of Functional Analysis 1 Topological Algebra and its Applications all top 5 Fields 60 Functional analysis (46-XX) 13 Associative rings and algebras (16-XX) 11 Category theory; homological algebra (18-XX) 5 Algebraic geometry (14-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 3 \(K\)-theory (19-XX) 3 General topology (54-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 70 times in 28 Documents Cited by ▼ Year ▼ Generalization of Segal algebras for arbitrary topological algebras. Zbl 1424.46062Abel, Mart 8 2018 About some categories of Segal topological algebras. Zbl 1439.46036Abel, Mart 8 2019 On finitely generated projective modules. Zbl 1196.46036Mallios, Anastasios; Abel, Mart 6 2005 On a category of module bundles. Zbl 1113.46041Abel, Mart 5 2005 Initial, terminal and zero objects in the category \(\mathcal{S}(B)\) of Segal topological algebras. Zbl 1426.46048Abel, Mart 5 2018 About products in the category \(\mathcal{S}(B)\) of Segal topological algebras. Zbl 1426.46049Abel, Mart 5 2018 A generalization of the Serre-Swan-Mallios theorem. Zbl 1194.18007Abel, Mart 4 2006 Products and coproducts in the category \(S(B)\) of Segal topological algebras. Zbl 1450.46034Abel, Mart 4 2019 On a problem of Bertram Yood. Zbl 1294.16034Abel, Mart; Abel, Mati 3 2014 Structure of Gelfand-Mazur algebras. Zbl 1023.46049Abel, Mart 2 2003 Closed ideals in algebras of sections. Zbl 1211.46042Abel, Mart; Abel, Mati; Tammo, Paul 2 2010 Ford lemma for topological \(*\)-algebras. Zbl 1226.46045Abel, Mart; Abel, Mati 2 2011 Initial objects, terminal objects, zero objects, and equalizers in the category Seg of Segal topological algebras. Zbl 1476.46051Abel, Mart 2 2020 About the limits of inverse systems in the category \(\mathcal{S} (B)\) of Segal topological algebras. Zbl 1476.46052Abel, Mart 2 2020 About pushouts in the category \(\mathscr{S}(B)\) of Segal topological algebras. Zbl 1447.46034Abel, Mart 2 2019 Description of closed maximal ideals in Gelfand-Mazur algebras. Zbl 1029.46056Abel, Mart 2 2001 Sectional representations of Gelfand-Mazur algebras. Zbl 1029.46060Abel, Mart 2 2001 Coproducts in the category \(S(B)\) of Segal topological algebras, revisited. Zbl 1474.46083Abel, Mart 2 2020 Description of all closed maximal regular ideals in subalgebras of the algebra \(C(X;A;\sigma)\). Zbl 1054.46030Abel, Mart 1 2004 On galbed algebras and galbed spaces. Zbl 1211.46041Abel, Mart; Abel, Mati 1 2006 About the cocompleteness of the category \(\mathcal{S} (B)\) of Segal topological algebras. Zbl 1476.46053Abel, Mart 1 2020 Coequalizers and pullbacks in the category \(\mathbf{Seg}\) of Segal topological algebras. Zbl 07425809Abel, Mart 1 2021 Coequalizers and pullbacks in the category \(\mathbf{Seg}\) of Segal topological algebras. Zbl 07425809Abel, Mart 1 2021 Initial objects, terminal objects, zero objects, and equalizers in the category Seg of Segal topological algebras. Zbl 1476.46051Abel, Mart 2 2020 About the limits of inverse systems in the category \(\mathcal{S} (B)\) of Segal topological algebras. Zbl 1476.46052Abel, Mart 2 2020 Coproducts in the category \(S(B)\) of Segal topological algebras, revisited. Zbl 1474.46083Abel, Mart 2 2020 About the cocompleteness of the category \(\mathcal{S} (B)\) of Segal topological algebras. Zbl 1476.46053Abel, Mart 1 2020 About some categories of Segal topological algebras. Zbl 1439.46036Abel, Mart 8 2019 Products and coproducts in the category \(S(B)\) of Segal topological algebras. Zbl 1450.46034Abel, Mart 4 2019 About pushouts in the category \(\mathscr{S}(B)\) of Segal topological algebras. Zbl 1447.46034Abel, Mart 2 2019 Generalization of Segal algebras for arbitrary topological algebras. Zbl 1424.46062Abel, Mart 8 2018 Initial, terminal and zero objects in the category \(\mathcal{S}(B)\) of Segal topological algebras. Zbl 1426.46048Abel, Mart 5 2018 About products in the category \(\mathcal{S}(B)\) of Segal topological algebras. Zbl 1426.46049Abel, Mart 5 2018 On a problem of Bertram Yood. Zbl 1294.16034Abel, Mart; Abel, Mati 3 2014 Ford lemma for topological \(*\)-algebras. Zbl 1226.46045Abel, Mart; Abel, Mati 2 2011 Closed ideals in algebras of sections. Zbl 1211.46042Abel, Mart; Abel, Mati; Tammo, Paul 2 2010 A generalization of the Serre-Swan-Mallios theorem. Zbl 1194.18007Abel, Mart 4 2006 On galbed algebras and galbed spaces. Zbl 1211.46041Abel, Mart; Abel, Mati 1 2006 On finitely generated projective modules. Zbl 1196.46036Mallios, Anastasios; Abel, Mart 6 2005 On a category of module bundles. Zbl 1113.46041Abel, Mart 5 2005 Description of all closed maximal regular ideals in subalgebras of the algebra \(C(X;A;\sigma)\). Zbl 1054.46030Abel, Mart 1 2004 Structure of Gelfand-Mazur algebras. Zbl 1023.46049Abel, Mart 2 2003 Description of closed maximal ideals in Gelfand-Mazur algebras. Zbl 1029.46056Abel, Mart 2 2001 Sectional representations of Gelfand-Mazur algebras. Zbl 1029.46060Abel, Mart 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 16 Authors 20 Abel, Mart 7 Abel, Mati 1 Abtahi, Mortaza 1 Bovdi, Victor A. 1 El Kinani, Abdellah 1 Grishkov, Alexander Nikolaevich 1 Hill, Terje 1 Ifzarne, Aziz 1 Robbins, David A. 1 Tammo, Paul 1 Ursul, Mihail I. 1 Weigt, Martin 1 Zafiris, Elias 1 Zarakas, Ioannis 1 Zárate-Rodríguez, Yuliana de Jesús 1 Zohri, Ali all top 5 Cited in 12 Serials 9 Proceedings of the Estonian Academy of Sciences 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Periodica Mathematica Hungarica 2 Acta et Commentationes Universitatis Tartuensis de Mathematica 2 Asian-European Journal of Mathematics 1 International Journal of Theoretical Physics 1 Rocky Mountain Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Le Matematiche 1 Bulletin of the Iranian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Journal of Mathematical Extension all top 5 Cited in 11 Fields 25 Functional analysis (46-XX) 5 Category theory; homological algebra (18-XX) 4 Associative rings and algebras (16-XX) 3 Algebraic geometry (14-XX) 2 Manifolds and cell complexes (57-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.