## Abel, Mart

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 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: 66 Publications since 2001, including 1 Book 4 Contributions as Editor Reviewing Activity: 189 Reviews Co-Authors: 6 Co-Authors with 19 Joint Publications 40 Co-Co-Authors
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### Co-Authors

 51 single-authored 14 Abel, Mati 4 Tammo, Paul 2 Ntumba, Patrice Pungu 1 Lehto, Veiko 1 Mallios, Anastasios 1 Marmor, Raido
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### Serials

 12 Proceedings of the Estonian Academy of Sciences 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Mathematics Studies (Tartu) 3 Acta et Commentationes Universitatis Tartuensis de Mathematica 3 Asian-European Journal of Mathematics 2 Periodica Mathematica Hungarica 2 Bulletin of the Greek Mathematical Society 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
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### Fields

 61 Functional analysis (46-XX) 15 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)

### Citations contained in zbMATH Open

24 Publications have been cited 77 times in 31 Documents Cited by Year
Generalization of Segal algebras for arbitrary topological algebras. Zbl 1424.46062
Abel, Mart
2018
About some categories of Segal topological algebras. Zbl 1439.46036
Abel, Mart
2019
On finitely generated projective modules. Zbl 1196.46036
Mallios, Anastasios; Abel, Mart
2005
Initial, terminal and zero objects in the category $$\mathcal{S}(B)$$ of Segal topological algebras. Zbl 1426.46048
Abel, Mart
2018
About products in the category $$\mathcal{S}(B)$$ of Segal topological algebras. Zbl 1426.46049
Abel, Mart
2018
On a category of module bundles. Zbl 1113.46041
Abel, Mart
2005
Products and coproducts in the category $$S(B)$$ of Segal topological algebras. Zbl 1450.46034
Abel, Mart
2019
A generalization of the Serre-Swan-Mallios theorem. Zbl 1194.18007
Abel, Mart
2006
Coproducts in the category $$S(B)$$ of Segal topological algebras, revisited. Zbl 1474.46083
Abel, Mart
2020
On a problem of Bertram Yood. Zbl 1294.16034
Abel, Mart; Abel, Mati
2014
Structure of Gelfand-Mazur algebras. Zbl 1023.46049
Abel, Mart
2003
Initial objects, terminal objects, zero objects, and equalizers in the category Seg of Segal topological algebras. Zbl 1476.46051
Abel, Mart
2020
About the limits of inverse systems in the category $$\mathcal{S} (B)$$ of Segal topological algebras. Zbl 1476.46052
Abel, Mart
2020
Sectional representations of Gelfand-Mazur algebras. Zbl 1029.46060
Abel, Mart
2001
Description of closed maximal ideals in Gelfand-Mazur algebras. Zbl 1029.46056
Abel, Mart
2001
Coequalizers and pullbacks in the category $$\mathbf{Seg}$$ of Segal topological algebras. Zbl 1487.46049
Abel, Mart
2021
About pushouts in the category $$\mathscr{S}(B)$$ of Segal topological algebras. Zbl 1447.46034
Abel, Mart
2019
Ford lemma for topological $$*$$-algebras. Zbl 1226.46045
Abel, Mart; Abel, Mati
2011
Closed ideals in algebras of sections. Zbl 1211.46042
Abel, Mart; Abel, Mati; Tammo, Paul
2010
About the cocompleteness of the category $$\mathcal{S} (B)$$ of Segal topological algebras. Zbl 1476.46053
Abel, Mart
2020
Description of all closed maximal regular ideals in subalgebras of the algebra $$C(X;A;\sigma)$$. Zbl 1054.46030
Abel, Mart
2004
On the equivalence between the categories of certain bundles and certain sheaves. Zbl 1226.14022
Abel, Mart
2011
Coproducts in the category Seg of Segal topological algebras. Zbl 1496.46043
Abel, Mart
2021
On galbed algebras and galbed spaces. Zbl 1211.46041
Abel, Mart; Abel, Mati
2006
Coequalizers and pullbacks in the category $$\mathbf{Seg}$$ of Segal topological algebras. Zbl 1487.46049
Abel, Mart
2021
Coproducts in the category Seg of Segal topological algebras. Zbl 1496.46043
Abel, Mart
2021
Coproducts in the category $$S(B)$$ of Segal topological algebras, revisited. Zbl 1474.46083
Abel, Mart
2020
Initial objects, terminal objects, zero objects, and equalizers in the category Seg of Segal topological algebras. Zbl 1476.46051
Abel, Mart
2020
About the limits of inverse systems in the category $$\mathcal{S} (B)$$ of Segal topological algebras. Zbl 1476.46052
Abel, Mart
2020
About the cocompleteness of the category $$\mathcal{S} (B)$$ of Segal topological algebras. Zbl 1476.46053
Abel, Mart
2020
About some categories of Segal topological algebras. Zbl 1439.46036
Abel, Mart
2019
Products and coproducts in the category $$S(B)$$ of Segal topological algebras. Zbl 1450.46034
Abel, Mart
2019
About pushouts in the category $$\mathscr{S}(B)$$ of Segal topological algebras. Zbl 1447.46034
Abel, Mart
2019
Generalization of Segal algebras for arbitrary topological algebras. Zbl 1424.46062
Abel, Mart
2018
Initial, terminal and zero objects in the category $$\mathcal{S}(B)$$ of Segal topological algebras. Zbl 1426.46048
Abel, Mart
2018
About products in the category $$\mathcal{S}(B)$$ of Segal topological algebras. Zbl 1426.46049
Abel, Mart
2018
On a problem of Bertram Yood. Zbl 1294.16034
Abel, Mart; Abel, Mati
2014
Ford lemma for topological $$*$$-algebras. Zbl 1226.46045
Abel, Mart; Abel, Mati
2011
On the equivalence between the categories of certain bundles and certain sheaves. Zbl 1226.14022
Abel, Mart
2011
Closed ideals in algebras of sections. Zbl 1211.46042
Abel, Mart; Abel, Mati; Tammo, Paul
2010
A generalization of the Serre-Swan-Mallios theorem. Zbl 1194.18007
Abel, Mart
2006
On galbed algebras and galbed spaces. Zbl 1211.46041
Abel, Mart; Abel, Mati
2006
On finitely generated projective modules. Zbl 1196.46036
Mallios, Anastasios; Abel, Mart
2005
On a category of module bundles. Zbl 1113.46041
Abel, Mart
2005
Description of all closed maximal regular ideals in subalgebras of the algebra $$C(X;A;\sigma)$$. Zbl 1054.46030
Abel, Mart
2004
Structure of Gelfand-Mazur algebras. Zbl 1023.46049
Abel, Mart
2003
Sectional representations of Gelfand-Mazur algebras. Zbl 1029.46060
Abel, Mart
2001
Description of closed maximal ideals in Gelfand-Mazur algebras. Zbl 1029.46056
Abel, Mart
2001
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### Cited by 18 Authors

 22 Abel, Mart 7 Abel, Mati 1 Abtahi, Mortaza 1 Bovdi, Victor A. 1 El Kinani, Abdellah 1 Etemad, Azam 1 Grishkov, Alexander Nikolaevich 1 Hill, Terje 1 Ifzarne, Aziz 1 Rahmati, Farhad 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
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### Cited in 12 Serials

 10 Proceedings of the Estonian Academy of Sciences 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Acta et Commentationes Universitatis Tartuensis de Mathematica 2 Periodica Mathematica Hungarica 2 Bulletin of the Iranian Mathematical Society 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 Mediterranean Journal of Mathematics 1 Journal of Mathematical Extension
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### Cited in 12 Fields

 26 Functional analysis (46-XX) 6 Associative rings and algebras (16-XX) 5 Category theory; homological algebra (18-XX) 3 Algebraic geometry (14-XX) 3 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 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

### Wikidata Timeline

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