Cigoli, A. S.; Mantovani, S.; Metere, G.; Vitale, E. M. Fibred-categorical obstruction theory. (English) Zbl 07451308 J. Algebra 593, 105-141 (2022). MSC: 18D30 18E13 18E35 18G45 18G50 16E40 20J06 PDF BibTeX XML Cite \textit{A. S. Cigoli} et al., J. Algebra 593, 105--141 (2022; Zbl 07451308) Full Text: DOI OpenURL
Wagemann, Friedrich Crossed modules. (English) Zbl 07438190 De Gruyter Studies in Mathematics 82. Berlin: De Gruyter (ISBN 978-3-11-075076-8/hbk; 978-3-11-075095-9/ebook). xiv, 393 p. (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 18-02 16-02 16T05 17-02 17B55 18G45 PDF BibTeX XML Cite \textit{F. Wagemann}, Crossed modules. Berlin: De Gruyter (2021; Zbl 07438190) Full Text: DOI OpenURL
Temel, Sedat Further remarks on group-2-groupoids. (English) Zbl 1480.20126 Appl. Gen. Topol. 22, No. 1, 31-46 (2021). Reviewer: Osman Mucuk (Kayseri) MSC: 20L05 20J15 18D40 18G45 PDF BibTeX XML Cite \textit{S. Temel}, Appl. Gen. Topol. 22, No. 1, 31--46 (2021; Zbl 1480.20126) Full Text: DOI OpenURL
Sumano, Elhoim The 2-nerve of a 2-group and Deligne’s determinant functors. (English) Zbl 1458.18014 Theory Appl. Categ. 37, 227-265 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N50 55P15 55U35 55P05 18G45 18F25 PDF BibTeX XML Cite \textit{E. Sumano}, Theory Appl. Categ. 37, 227--265 (2021; Zbl 1458.18014) Full Text: Link OpenURL
Aytekin, Ali; Emir, Kadir Colimits of crossed modules in modified categories of interest. (English) Zbl 1464.18003 Electron Res. Arch. 28, No. 3, 1227-1238 (2020). Reviewer: Osman Mucuk (Kayseri) MSC: 18A30 17A30 18G45 PDF BibTeX XML Cite \textit{A. Aytekin} and \textit{K. Emir}, Electron Res. Arch. 28, No. 3, 1227--1238 (2020; Zbl 1464.18003) Full Text: DOI OpenURL
Cigoli, Alan S.; Duvieusart, Arnaud; Gran, Marino; Mantovani, Sandra Galois theory and the categorical Peiffer commutator. (English) Zbl 1440.18010 Homology Homotopy Appl. 22, No. 2, 323-346 (2020). MSC: 18C40 18E13 18G45 20J15 17B55 20J05 PDF BibTeX XML Cite \textit{A. S. Cigoli} et al., Homology Homotopy Appl. 22, No. 2, 323--346 (2020; Zbl 1440.18010) Full Text: DOI arXiv OpenURL
di Micco, Davide; Van der Linden, Tim Compatible actions in semi-abelian categories. (English) Zbl 1440.18014 Homology Homotopy Appl. 22, No. 2, 221-250 (2020). MSC: 18E13 18G45 20J15 PDF BibTeX XML Cite \textit{D. di Micco} and \textit{T. Van der Linden}, Homology Homotopy Appl. 22, No. 2, 221--250 (2020; Zbl 1440.18014) Full Text: DOI arXiv OpenURL
Salemkar, Ali Reza; Talebtash, Sajedeh; Riyahi, Zahra The nilpotent multipliers of crossed modules. (English) Zbl 1387.18024 J. Pure Appl. Algebra 221, No. 8, 2119-2131 (2017). Reviewer: Nadia Mazza (Lancaster) MSC: 18G05 18G50 20J99 PDF BibTeX XML Cite \textit{A. R. Salemkar} et al., J. Pure Appl. Algebra 221, No. 8, 2119--2131 (2017; Zbl 1387.18024) Full Text: DOI OpenURL
Farjoun, Emmanuel D.; Segev, Yoav Crossed modules as maps between connected components of topological groups. (English) Zbl 1388.18021 Forum Math. 29, No. 6, 1463-1469 (2017). Reviewer: Saïd Zarati (Tunis) MSC: 18G30 55U10 57T30 55Q05 PDF BibTeX XML Cite \textit{E. D. Farjoun} and \textit{Y. Segev}, Forum Math. 29, No. 6, 1463--1469 (2017; Zbl 1388.18021) Full Text: DOI arXiv OpenURL
Datuashvili, Tamar Categorical, homological, and homotopical properties of algebraic objects. (English. Russian original) Zbl 1390.18001 J. Math. Sci., New York 225, No. 3, 383-533 (2017); translation from Sovrem. Mat. Prilozh. 99 (2015). Reviewer: Blas Torrecillas (Almeria) MSC: 18-02 16-02 PDF BibTeX XML Cite \textit{T. Datuashvili}, J. Math. Sci., New York 225, No. 3, 383--533 (2017; Zbl 1390.18001); translation from Sovrem. Mat. Prilozh. 99 (2015) Full Text: DOI OpenURL
Ilgaz, Elif Projective crossed modules of algebras and cyclic homology. (English) Zbl 1424.16031 Turk. J. Math. 40, No. 5, 995-1003 (2016). MSC: 16E40 18G05 16D40 PDF BibTeX XML Cite \textit{E. Ilgaz}, Turk. J. Math. 40, No. 5, 995--1003 (2016; Zbl 1424.16031) Full Text: DOI OpenURL
Albandik, Suliman; Meyer, Ralf Colimits in the correspondence bicategory. (English) Zbl 1369.46067 Münster J. Math. 9, No. 1, 51-76 (2016). Reviewer: Takahiro Sudo (Nishihara) MSC: 46M15 46M05 46M40 46L05 46L08 46L09 46L55 PDF BibTeX XML Cite \textit{S. Albandik} and \textit{R. Meyer}, Münster J. Math. 9, No. 1, 51--76 (2016; Zbl 1369.46067) Full Text: DOI arXiv OpenURL
von Raumer, Jakob Formalizing double groupoids and cross modules in the Lean theorem prover. (English) Zbl 1434.68647 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 28-33 (2016). MSC: 68V20 18G45 18G50 20L05 68V15 PDF BibTeX XML Cite \textit{J. von Raumer}, Lect. Notes Comput. Sci. 9725, 28--33 (2016; Zbl 1434.68647) Full Text: DOI OpenURL
Vieira, Renato Nonabelian algebraic topology. (English) Zbl 1336.55003 São Paulo J. Math. Sci. 9, No. 1, 110-140 (2015). Reviewer: Martin Frankland (Osnabrück) MSC: 55P15 18G50 55-02 PDF BibTeX XML Cite \textit{R. Vieira}, São Paulo J. Math. Sci. 9, No. 1, 110--140 (2015; Zbl 1336.55003) Full Text: DOI OpenURL
Majid, Shahn; Tao, Wen-Qing Duality for generalised differentials on quantum groups. (English) Zbl 1320.81069 J. Algebra 439, 67-109 (2015). MSC: 81R50 58B32 17B37 16T05 11G09 18G35 PDF BibTeX XML Cite \textit{S. Majid} and \textit{W.-Q. Tao}, J. Algebra 439, 67--109 (2015; Zbl 1320.81069) Full Text: DOI arXiv OpenURL
Dokas, Ioannis Torsors and the Quillen-Barr-Beck cohomology for restricted Lie algebras. (English) Zbl 1329.17020 Homology Homotopy Appl. 17, No. 1, 203-234 (2015). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 17B55 17B50 18C15 18D35 18G30 18G50 17B45 18B40 PDF BibTeX XML Cite \textit{I. Dokas}, Homology Homotopy Appl. 17, No. 1, 203--234 (2015; Zbl 1329.17020) Full Text: DOI arXiv OpenURL
Boyaci, Y.; Casas, J. M.; Datuashvili, T.; Uslu, E. Ö. Actions in modified categories of interest with application to crossed modules. (English) Zbl 1318.18001 Theory Appl. Categ. 30, 882-908 (2015). Reviewer: Sergejs Solovjovs (Brno) MSC: 18B99 16B50 18C05 16D99 16E99 PDF BibTeX XML Cite \textit{Y. Boyaci} et al., Theory Appl. Categ. 30, 882--908 (2015; Zbl 1318.18001) Full Text: EMIS OpenURL
Alves, Marcelo Muniz S.; Batista, Eliezer; Vercruysse, Joost Partial representations of Hopf algebras. (English) Zbl 1370.16024 J. Algebra 426, 137-187 (2015). MSC: 16T05 16S40 16S35 16W50 PDF BibTeX XML Cite \textit{M. M. S. Alves} et al., J. Algebra 426, 137--187 (2015; Zbl 1370.16024) Full Text: DOI arXiv OpenURL
Casas, José Manuel; Casado, Rafael F.; Khmaladze, Emzar; Ladra, Manuel Universal enveloping crossed module of a Lie crossed module. (English) Zbl 1336.17007 Homology Homotopy Appl. 16, No. 2, 143-158 (2014). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B35 18G50 18A40 18G55 PDF BibTeX XML Cite \textit{J. M. Casas} et al., Homology Homotopy Appl. 16, No. 2, 143--158 (2014; Zbl 1336.17007) Full Text: DOI OpenURL
Donadze, Guram; Ladra, Manuel The excision theorems in Hochschild and cyclic homologies. (English) Zbl 1314.16008 Proc. R. Soc. Edinb., Sect. A, Math. 144, No. 2, 305-317 (2014). Reviewer: Udhayakumar Ramalingam (Sathyamangalam) MSC: 16E40 18G30 18G60 19D55 PDF BibTeX XML Cite \textit{G. Donadze} and \textit{M. Ladra}, Proc. R. Soc. Edinb., Sect. A, Math. 144, No. 2, 305--317 (2014; Zbl 1314.16008) Full Text: DOI OpenURL
Edalatzadeh, Behrouz Capability of crossed modules of Lie algebras. (English) Zbl 1328.17018 Commun. Algebra 42, No. 8, 3366-3380 (2014). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 18G50 18G55 17B55 PDF BibTeX XML Cite \textit{B. Edalatzadeh}, Commun. Algebra 42, No. 8, 3366--3380 (2014; Zbl 1328.17018) Full Text: DOI OpenURL
Donadze, Guram; Ladra, Manuel Chevalley-Eilenberg homology of crossed modules of Lie algebras in lower dimensions. (English) Zbl 1354.17013 Homology Homotopy Appl. 15, No. 2, 185-194 (2013). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B40 17B55 17B56 18G50 18G60 19D55 PDF BibTeX XML Cite \textit{G. Donadze} and \textit{M. Ladra}, Homology Homotopy Appl. 15, No. 2, 185--194 (2013; Zbl 1354.17013) Full Text: DOI OpenURL
Davydov, A. Twisted derivations of Hopf algebras. (English) Zbl 1273.16030 J. Pure Appl. Algebra 217, No. 3, 567-582 (2013). Reviewer: Giovanna Carnovale (Padova) MSC: 16T05 16T10 16W25 18D10 18D35 17B40 PDF BibTeX XML Cite \textit{A. Davydov}, J. Pure Appl. Algebra 217, No. 3, 567--582 (2013; Zbl 1273.16030) Full Text: DOI arXiv OpenURL
Donadze, G.; Ladra, M. On the non-existence of a cyclic homology theory with coefficients. (English) Zbl 1327.18013 Math. Res. Lett. 19, No. 4, 837-845 (2012). MSC: 18D10 16E40 18G10 PDF BibTeX XML Cite \textit{G. Donadze} and \textit{M. Ladra}, Math. Res. Lett. 19, No. 4, 837--845 (2012; Zbl 1327.18013) Full Text: DOI OpenURL
Donadze, Guram; Inassaridze, Nick; Khmaladze, Emzar; Ladra, Manuel Cyclic homologies of crossed modules of algebras. (English) Zbl 1278.18026 J. Noncommut. Geom. 6, No. 4, 749-771 (2012). Reviewer: Wei Jiaqun (Nanjing) MSC: 18G10 18G50 18G60 16E40 PDF BibTeX XML Cite \textit{G. Donadze} et al., J. Noncommut. Geom. 6, No. 4, 749--771 (2012; Zbl 1278.18026) Full Text: DOI arXiv OpenURL
Mahdi, Ra’ad S.; Fadhel, Ihssan A. Construction of a crossed module of complexes from a precrossed module of complexes and a cat\(^1\)-complex from a precat\(^1\)-complex. (English) Zbl 1259.18006 Int. J. Algebra 5, No. 29-32, 1459-1468 (2011). Reviewer: Osman Mucuk (Kayseri) MSC: 18G35 16S35 55U15 PDF BibTeX XML Cite \textit{R. S. Mahdi} and \textit{I. A. Fadhel}, Int. J. Algebra 5, No. 29--32, 1459--1468 (2011; Zbl 1259.18006) Full Text: Link OpenURL
Ulualan, Erdal; Uslu, Enver Önder Quadratic modules for Lie algebras. (English) Zbl 1252.18032 Hacet. J. Math. Stat. 40, No. 3, 409-419 (2011). Reviewer: B. S. Kiranagi (Mysore) MSC: 18G50 18G55 17B55 PDF BibTeX XML Cite \textit{E. Ulualan} and \textit{E. Ö. Uslu}, Hacet. J. Math. Stat. 40, No. 3, 409--419 (2011; Zbl 1252.18032) OpenURL
Akca, I.; Ege Arslan, U. Pseudo simplicial algebras. (English) Zbl 1248.18013 Algebras Groups Geom. 27, No. 1, 25-35 (2010). MSC: 18G30 55U10 PDF BibTeX XML Cite \textit{I. Akca} and \textit{U. Ege Arslan}, Algebras Groups Geom. 27, No. 1, 25--35 (2010; Zbl 1248.18013) OpenURL
Barad, Gefry Representations for certain crossed simplicial groups generated by braided Hopf algebras. (English) Zbl 1224.18011 An. Univ. Craiova, Ser. Mat. Inf. 37, No. 4, 65-72 (2010). MSC: 18G30 16T25 46L87 16S40 81R50 PDF BibTeX XML Cite \textit{G. Barad}, An. Univ. Craiova, Ser. Mat. Inf. 37, No. 4, 65--72 (2010; Zbl 1224.18011) OpenURL
Casas, José Manuel; Inassaridze, Nick; Ladra, Manuel Homological aspects of Lie algebra crossed modules. (English) Zbl 1239.17014 Manuscr. Math. 131, No. 3-4, 385-401 (2010). Reviewer: Daniel Tanré (Villeneuve d’ Ascq) MSC: 17B40 17B56 18G50 18G60 19D55 PDF BibTeX XML Cite \textit{J. M. Casas} et al., Manuscr. Math. 131, No. 3--4, 385--401 (2010; Zbl 1239.17014) Full Text: DOI OpenURL
Khare, Apoorva Functoriality of the BGG category \(\mathcal O\). (English) Zbl 1187.16003 Commun. Algebra 37, No. 12, 4431-4475 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16D90 16S35 17B10 PDF BibTeX XML Cite \textit{A. Khare}, Commun. Algebra 37, No. 12, 4431--4475 (2009; Zbl 1187.16003) Full Text: DOI arXiv OpenURL
Porter, Timothy; Turaev, Vladimir Formal homotopy quantum field theories. I: Formal maps and crossed \(\mathcal{C}\)-algebras. (English) Zbl 1205.57024 J. Homotopy Relat. Struct. 3, No. 1, 113-159 (2008). Reviewer: Domenico Fiorenza (Roma) MSC: 57R56 55P99 18G50 81T45 PDF BibTeX XML Cite \textit{T. Porter} and \textit{V. Turaev}, J. Homotopy Relat. Struct. 3, No. 1, 113--159 (2008; Zbl 1205.57024) Full Text: arXiv EMIS OpenURL
Inassaridze, Nikoloz; Khmaladze, Emzar; Ladra, Manuel Non-Abelian cohomology and extensions of Lie algebras. (English) Zbl 1179.17019 J. Lie Theory 18, No. 2, 413-432 (2008). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 17B40 18G50 PDF BibTeX XML Cite \textit{N. Inassaridze} et al., J. Lie Theory 18, No. 2, 413--432 (2008; Zbl 1179.17019) Full Text: Link OpenURL
Ulualan, E. Braiding from 2-groups to 2-groupoids. (English) Zbl 1193.18007 Iran. J. Sci. Technol., Trans. A, Sci. 30, No. 3, 325-341 (2007). MSC: 18D10 55P15 PDF BibTeX XML Cite \textit{E. Ulualan}, Iran. J. Sci. Technol., Trans. A, Sci. 30, No. 3, 325--341 (2007; Zbl 1193.18007) OpenURL
Arvasi, Z.; Ulualan, E. 3-types of simplicial groups and braided regular crossed modules. (English) Zbl 1113.18006 Homology Homotopy Appl. 9, No. 1, 139-161 (2007). Reviewer: Gábor Braun (Budapest) MSC: 18D35 18G30 18G50 18G55 PDF BibTeX XML Cite \textit{Z. Arvasi} and \textit{E. Ulualan}, Homology Homotopy Appl. 9, No. 1, 139--161 (2007; Zbl 1113.18006) Full Text: DOI Link OpenURL
Koçak, M. Pro-\(C\) completions of crossed modules of commutative algebras. (English) Zbl 1093.13009 Algebras Groups Geom. 22, No. 2, 215-232 (2005). Reviewer: Cornel Baetica (Bucureşti) MSC: 13D03 18G30 18G55 16D10 PDF BibTeX XML Cite \textit{M. Koçak}, Algebras Groups Geom. 22, No. 2, 215--232 (2005; Zbl 1093.13009) OpenURL
Paoli, Simona On the non-balanced property of the category of crossed modules in groups. (English) Zbl 1074.18005 J. Pure Appl. Algebra 197, No. 1-3, 19-22 (2005). Reviewer: Francisco J. Diaz (La Laguna) MSC: 18G50 18C15 55P15 PDF BibTeX XML Cite \textit{S. Paoli}, J. Pure Appl. Algebra 197, No. 1--3, 19--22 (2005; Zbl 1074.18005) Full Text: DOI arXiv OpenURL
Ulualan, Erdal; Uslu, Enver Önder Braided profinite cat-groups, crossed modules and simplicial groups. (English) Zbl 1063.18012 Int. J. Pure Appl. Math. 16, No. 3, 299-313 (2004). MSC: 18G50 20E18 20J99 PDF BibTeX XML Cite \textit{E. Ulualan} and \textit{E. Ö. Uslu}, Int. J. Pure Appl. Math. 16, No. 3, 299--313 (2004; Zbl 1063.18012) OpenURL
Grandjeán, A. R.; López, M. P. \(H^{q}_{2}(T,G,{\partial})\) and \(q\)-perfect crossed modules. (English) Zbl 1063.18011 Appl. Categ. Struct. 11, No. 2, 171-184 (2003). Reviewer: Juan Martinez-Moreno (Jaén) MSC: 18G50 20J05 20E22 PDF BibTeX XML Cite \textit{A. R. Grandjeán} and \textit{M. P. López}, Appl. Categ. Struct. 11, No. 2, 171--184 (2003; Zbl 1063.18011) Full Text: DOI OpenURL
Cegarra, A. M.; Garzón, A. R. Some algebraic applications of graded categorical group theory. (English) Zbl 1019.18004 Theory Appl. Categ. 11, 215-251 (2003). Reviewer: Ladislav Bican (Praha) MSC: 18D10 20J06 20M10 20M50 16S35 16W50 16H05 16W30 PDF BibTeX XML Cite \textit{A. M. Cegarra} and \textit{A. R. Garzón}, Theory Appl. Categ. 11, 215--251 (2003; Zbl 1019.18004) Full Text: EuDML EMIS OpenURL
Brown, Ronald; Wensley, Christopher D. Computation and homotopical applications of induced crossed modules. (English) Zbl 1026.55012 J. Symb. Comput. 35, No. 1, 59-72 (2003). Reviewer: G.Hoff (Villetaneuse) MSC: 55P15 18D35 20J15 55Q99 18G55 PDF BibTeX XML Cite \textit{R. Brown} and \textit{C. D. Wensley}, J. Symb. Comput. 35, No. 1, 59--72 (2003; Zbl 1026.55012) Full Text: DOI arXiv OpenURL
Inassaridze, Hvedri Higher non-abelian cohomology of groups. (English) Zbl 1038.20041 Glasg. Math. J. 44, No. 3, 497-520 (2002). MSC: 20J06 18G50 20E22 PDF BibTeX XML Cite \textit{H. Inassaridze}, Glasg. Math. J. 44, No. 3, 497--520 (2002; Zbl 1038.20041) Full Text: DOI OpenURL
Danas, George Group extensions, crossed modules and cohomology in abstract categories. (English) Zbl 1012.18008 Panam. Math. J. 12, No. 3, 1-22 (2002). Reviewer: Dumitru Busneag (Craiova) MSC: 18G05 20J05 18F20 18G10 18G30 18D15 20J06 PDF BibTeX XML Cite \textit{G. Danas}, Panam. Math. J. 12, No. 3, 1--22 (2002; Zbl 1012.18008) OpenURL
Alp, Murat Enumeration of Whitehead groups of low order. (English) Zbl 1020.16039 Int. J. Algebra Comput. 12, No. 5, 645-658 (2002). MSC: 16Z05 18D35 16S35 16W25 16D90 PDF BibTeX XML Cite \textit{M. Alp}, Int. J. Algebra Comput. 12, No. 5, 645--658 (2002; Zbl 1020.16039) Full Text: DOI OpenURL
Bourn, Dominique; Gran, Marino Central extensions in semi-abelian categories. (English) Zbl 1023.18013 J. Pure Appl. Algebra 175, No. 1-3, 31-44 (2002). Reviewer: Walter Tholen (Toronto) MSC: 18E10 20L05 18A40 08C05 18D35 18G50 18A32 PDF BibTeX XML Cite \textit{D. Bourn} and \textit{M. Gran}, J. Pure Appl. Algebra 175, No. 1--3, 31--44 (2002; Zbl 1023.18013) Full Text: DOI OpenURL
Inassaridze, Nick On nonabelian tensor product modulo \(q\) of groups. (English) Zbl 1005.20036 Commun. Algebra 29, No. 6, 2657-2687 (2001). Reviewer: Manuel Ladra Gonzalez (Santiago) MSC: 20J05 18G50 18G10 19C20 PDF BibTeX XML Cite \textit{N. Inassaridze}, Commun. Algebra 29, No. 6, 2657--2687 (2001; Zbl 1005.20036) Full Text: DOI OpenURL
Alp, Murat Induced \(\text{Cat}^1\)-groups. (English) Zbl 0997.20048 Turk. J. Math. 25, No. 2, 245-261 (2001). Reviewer: Dimitru Busneag (Craiova) MSC: 20J15 18D35 57M07 20C05 20-04 PDF BibTeX XML Cite \textit{M. Alp}, Turk. J. Math. 25, No. 2, 245--261 (2001; Zbl 0997.20048) OpenURL
Alp, M. Special cases of cat\({}^1\)-groups. (English) Zbl 1006.18003 Algebras Groups Geom. 17, No. 4, 468-478 (2000). MSC: 18-04 20J15 16S35 PDF BibTeX XML Cite \textit{M. Alp}, Algebras Groups Geom. 17, No. 4, 468--478 (2000; Zbl 1006.18003) OpenURL
Hayashi, Tomohiro; Yamagami, Shigeru Amenable tensor categories and their realizations as AFD bimodules. (English) Zbl 0996.46025 J. Funct. Anal. 172, No. 1, 19-75 (2000). Reviewer: Isamu Dôku (Urawa) MSC: 46L06 46L08 46L05 46L37 46L55 46L35 PDF BibTeX XML Cite \textit{T. Hayashi} and \textit{S. Yamagami}, J. Funct. Anal. 172, No. 1, 19--75 (2000; Zbl 0996.46025) Full Text: DOI OpenURL
Vieites Rodríguez, A. M.; Casas Mirás, J. M. Derivations of crossed modules. (Research announcement). (English) Zbl 0945.18004 Extr. Math. 14, No. 1, 63-67 (1999). Reviewer: D.Tanré (Villeneuve d’Ascq) MSC: 18B40 18G99 18A20 PDF BibTeX XML Cite \textit{A. M. Vieites Rodríguez} and \textit{J. M. Casas Mirás}, Extr. Math. 14, No. 1, 63--67 (1999; Zbl 0945.18004) Full Text: EuDML OpenURL
Datuashvili, T. Kan extensions of internal functors. Algebraic approach. (English) Zbl 0931.18007 Georgian Math. J. 6, No. 2, 127-148 (1999). Reviewer: H.Kleisli (Fribourg) MSC: 18D35 20J15 18B40 18A40 18G99 PDF BibTeX XML Cite \textit{T. Datuashvili}, Georgian Math. J. 6, No. 2, 127--148 (1999; Zbl 0931.18007) Full Text: DOI EMIS OpenURL
Brown, Ronald; Salleh, Abdul Razak Free crossed resolutions of groups and presentations of modules of identities among relations. (English) Zbl 0939.20029 LMS J. Comput. Math. 2, 28-61 (1999). Reviewer: J.Huebschmann (Villeneuve d’Ascq) MSC: 20F05 18G50 18G55 57M05 57M07 57M20 20N02 18G10 20J05 PDF BibTeX XML Cite \textit{R. Brown} and \textit{A. R. Salleh}, LMS J. Comput. Math. 2, 28--61 (1999; Zbl 0939.20029) Full Text: DOI arXiv Link OpenURL
Pride, Stephen J. Low dimensional homotopy for monoids. II: Groups. (English) Zbl 0932.20046 Glasg. Math. J. 41, No. 1, 1-11 (1999). Reviewer: B.Zimmermann (Trieste) MSC: 20F65 57M20 20M50 57M07 20F05 20M05 20C07 20J05 PDF BibTeX XML Cite \textit{S. J. Pride}, Glasg. Math. J. 41, No. 1, 1--11 (1999; Zbl 0932.20046) Full Text: DOI OpenURL
Casas, J. M.; Ladra, M. The actor of a crossed module in Lie algebras. (English) Zbl 0922.17013 Commun. Algebra 26, No. 7, 2065-2089 (1998). MSC: 17B40 17B05 18E99 PDF BibTeX XML Cite \textit{J. M. Casas} and \textit{M. Ladra}, Commun. Algebra 26, No. 7, 2065--2089 (1998; Zbl 0922.17013) Full Text: DOI OpenURL
Garzon, Antonio R.; Miranda, Jesus G. Homotopy theory for (braided) cat-groups. (English) Zbl 0880.18006 Cah. Topologie Géom. Différ. Catég. 38, No. 2, 99-139 (1997). Reviewer: T.Porter (Bangor) MSC: 18D10 55U35 18G30 PDF BibTeX XML Cite \textit{A. R. Garzon} and \textit{J. G. Miranda}, Cah. Topologie Géom. Différ. Catégoriques 38, No. 2, 99--139 (1997; Zbl 0880.18006) Full Text: Numdam EuDML OpenURL
Garzón, Antonio R.; Miranda, Jesús G. Models for homotopy \(n\)-types in diagram categories. (English) Zbl 0858.55009 Appl. Categ. Struct. 4, No. 2-3, 213-225 (1996). MSC: 55P91 55U35 55P15 PDF BibTeX XML Cite \textit{A. R. Garzón} and \textit{J. G. Miranda}, Appl. Categ. Struct. 4, No. 2--3, 213--225 (1996; Zbl 0858.55009) Full Text: DOI OpenURL
Brown, Ronald; Wensley, Christopher D. Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types. (English) Zbl 0856.18011 Theory Appl. Categ. 2, 3-16 (1996). Reviewer: G.Hoff (Villetaneuse) MSC: 18G10 55P15 20F38 55Q20 PDF BibTeX XML Cite \textit{R. Brown} and \textit{C. D. Wensley}, Theory Appl. Categ. 2, 3--16 (1996; Zbl 0856.18011) Full Text: EuDML EMIS OpenURL
Beattie, M.; Chen, C.-Y.; Zhang, J. J. Twisted Hopf comodule algebras. (English) Zbl 0851.16031 Commun. Algebra 24, No. 5, 1759-1775 (1996). Reviewer: A.Marcus (Cluj-Napoca) MSC: 16W30 16S35 16S40 PDF BibTeX XML Cite \textit{M. Beattie} et al., Commun. Algebra 24, No. 5, 1759--1775 (1996; Zbl 0851.16031) Full Text: DOI OpenURL
Bullejos, M. A note on Hacque’s cohomology of rings-groups and extensions of rings-groups by groups. (English) Zbl 0884.18016 Extr. Math. 11, No. 3, 426-434 (1996). Reviewer: G.Hoff (Villetaneuse) MSC: 18G50 16E30 20E22 PDF BibTeX XML Cite \textit{M. Bullejos}, Extr. Math. 11, No. 3, 426--434 (1996; Zbl 0884.18016) Full Text: EuDML OpenURL
Ellis, Graham Homology of 2-types: Corrigendum and addendum. (English) Zbl 0854.18008 J. Lond. Math. Soc., II. Ser. 52, No. 3, 447-448 (1995). MSC: 18G15 20J05 PDF BibTeX XML Cite \textit{G. Ellis}, J. Lond. Math. Soc., II. Ser. 52, No. 3, 447--448 (1995; Zbl 0854.18008) Full Text: DOI OpenURL
Datuashvili, T. Whitehead homotopy equivalence and internal category equivalence of crossed modules in categories of groups with operations. (English) Zbl 0866.18009 Gegelia, T. (ed.) et al., Collected papers on \(K\)-theory and categorical algebra. Tbilisi: Publishing House GCI, Proc. A. Razmadze Math. Inst. 113, 3-30 (1995). MSC: 18D35 20J15 18B40 18G55 PDF BibTeX XML Cite \textit{T. Datuashvili}, in: Collected papers on \(K\)-theory and categorical algebra. Tbilisi: Publishing House GCI. 3--30 (1995; Zbl 0866.18009) OpenURL
Doncel Juárez, José Luis \(q\)-nilpotency in crossed modules. (Spanish. English summary) Zbl 0744.20043 Algebra, logic and number theory, Proc. 15th Port.-Span. Meet. Math., Évora/ Port. 1990, Vol. I, 179-184 (1991). MSC: 20J05 20F12 20F18 PDF BibTeX XML Cite \textit{J. L. Doncel Juárez}, in: Álgebra, lógica e theoria de números. Actas de XV jornadas luso-espanholas de matemática, 3-7 de setembro, 1990, Vol. I. Évora (Portugal): Universidade de Évora. 179--184 (1991; Zbl 0744.20043) OpenURL
Baues, Hans Joachim Combinatorial homotopy and 4-dimensional complexes. (English) Zbl 0716.55001 De Gruyter Expositions in Mathematics, 2. Berlin etc.: Walter de Gruyter. xxvii, 380 p. DM 158.00/hbk (1991). Reviewer: H.M.Unsöld MSC: 55-02 55P15 55S05 18G35 18G55 55Q20 55U35 PDF BibTeX XML Cite \textit{H. J. Baues}, Combinatorial homotopy and 4-dimensional complexes. Berlin etc.: Walter de Gruyter (1991; Zbl 0716.55001) OpenURL
Norrie, Katherine Actions and automorphisms of crossed modules. (English) Zbl 0719.20018 Bull. Soc. Math. Fr. 118, No. 2, 129-146 (1990). Reviewer: R.Brown (Bangor) MSC: 20F28 18D35 55Q05 55U99 18D05 18F25 18G55 19D55 PDF BibTeX XML Cite \textit{K. Norrie}, Bull. Soc. Math. Fr. 118, No. 2, 129--146 (1990; Zbl 0719.20018) Full Text: DOI Numdam EuDML OpenURL
Cegarra, Antonio M.; Garzon, Antonio R. Non-abelian cohomology of associative algebras. The 9-term exact sequence. (English) Zbl 0717.16008 Cah. Topologie Géom. Différ. Catég. 30, No. 4, 295-338 (1989). Reviewer: M.Golasiński MSC: 16E40 18G50 18G15 PDF BibTeX XML Cite \textit{A. M. Cegarra} and \textit{A. R. Garzon}, Cah. Topologie Géom. Différ. Catégoriques 30, No. 4, 295--338 (1989; Zbl 0717.16008) Full Text: Numdam EuDML OpenURL
Doncel Juarez, José Luis Interpretations of the fourth cohomology group of Eilenberg-MacLane. (Interpretaciones del cuarto grupo de cohomología de Eilenberg- MacLane.) (Spanish) Zbl 0699.20039 Alxebra, 51. Santiago de Compostela: Universidad, Departamento de Algebra. 56 p. (1989). Reviewer: J.Huebschmann MSC: 20J05 20E22 18G50 18F25 55N20 PDF BibTeX XML Cite \textit{J. L. Doncel Juarez}, Interpretaciones del cuarto grupo de cohomología de Eilenberg- MacLane (Spanish). Santiago de Compostela: Universidad, Departamento de Algebra (1989; Zbl 0699.20039) OpenURL
Ellis, Graham Crossed modules. (English) Zbl 0668.20002 Ir. Math. Soc. Bull. 21, 29-37 (1988). Reviewer: T.Porter MSC: 20-02 55-02 20C07 18G50 20J05 20L05 16S34 PDF BibTeX XML Cite \textit{G. Ellis}, Ir. Math. Soc. Bull. 21, 29--37 (1988; Zbl 0668.20002) OpenURL
Ellis, Graham J. Higher dimensional crossed modules of algebras. (English) Zbl 0658.17010 J. Pure Appl. Algebra 52, No. 3, 277-282 (1988). Reviewer: Richard John Steiner (Glasgow) MSC: 17B55 16B50 18G55 55Q05 17C10 PDF BibTeX XML Cite \textit{G. J. Ellis}, J. Pure Appl. Algebra 52, No. 3, 277--282 (1988; Zbl 0658.17010) Full Text: DOI OpenURL
Guin, Daniel Cohomologie et homologie non abéliennes des groupes. (Nonabelian cohomology and homology of groups). (French) Zbl 0653.20051 J. Pure Appl. Algebra 50, No. 2, 109-137 (1988). Reviewer: L.R.Vermani MSC: 20J05 18G50 18F25 PDF BibTeX XML Cite \textit{D. Guin}, J. Pure Appl. Algebra 50, No. 2, 109--137 (1988; Zbl 0653.20051) Full Text: DOI OpenURL
Porter, Timothy Erratum to: Some categorical results in the theory of crossed modules in commutative algebras. (English) Zbl 0652.16028 J. Algebra 116, No. 2, 522-523 (1988). MSC: 16B50 18A40 18G35 PDF BibTeX XML Cite \textit{T. Porter}, J. Algebra 116, No. 2, 522--523 (1988; Zbl 0652.16028) Full Text: DOI OpenURL
Bullejos Lorenzo, Manuel Generalized crossed groupoids. (Spanish. English summary) Zbl 0699.20046 Proc. 11th Span.-Port. Conf. Math., Badajoz/Spain 1986, Vol. 2, Publ. Dep. Mat. Univ. Extremadura 18, 54-58 (1987). MSC: 20L05 18G50 18E10 PDF BibTeX XML OpenURL
Blanco Ferro, Antonio A.; Ladra González, Manuel A description of the cohomology of small categories. (Spanish. English summary) Zbl 0654.18008 Proc. 11th Span.-Port. Conf. Math., Badajoz/Spain 1986, Vol. 2, Publ. Dep. Mat. Univ. Extremadura 18, 43-47 (1987). Reviewer: R.M.Najar MSC: 18G99 PDF BibTeX XML OpenURL
Igodt, Paul; Lee, Kyung Bai Applications of group cohomology to space constructions. (English) Zbl 0629.57028 Trans. Am. Math. Soc. 304, 69-82 (1987). Reviewer: B.Zimmermann MSC: 57S30 57N15 20J99 PDF BibTeX XML Cite \textit{P. Igodt} and \textit{K. B. Lee}, Trans. Am. Math. Soc. 304, 69--82 (1987; Zbl 0629.57028) Full Text: DOI OpenURL
Brown, Ronald; Higgins, Philip J. Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes. (English) Zbl 0621.55009 J. Pure Appl. Algebra 47, 1-33 (1987). Reviewer: D.Gottlieb MSC: 55Q05 57M05 18D10 PDF BibTeX XML Cite \textit{R. Brown} and \textit{P. J. Higgins}, J. Pure Appl. Algebra 47, 1--33 (1987; Zbl 0621.55009) Full Text: DOI OpenURL
Porter, Timothy Some categorical results in the theory of crossed modules in commutative algebras. (English) Zbl 0619.16033 J. Algebra 109, 415-429 (1987). Reviewer: L.Bican MSC: 16B50 18A40 PDF BibTeX XML Cite \textit{T. Porter}, J. Algebra 109, 415--429 (1987; Zbl 0619.16033) Full Text: DOI OpenURL
Grandjeán, A. R.; Vale, M. J. 2-crossed modules in the André-Quillen cohomology. (Spanish) Zbl 0606.13010 Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias Exactas 22. Madrid: Real Academia de Ciencias Exactas, Fisicas y Naturales de Madrid. 28 p. (1986). Reviewer: M.Golasiński MSC: 13D03 18G10 55U15 13B02 PDF BibTeX XML Cite \textit{A. R. Grandjeán} and \textit{M. J. Vale}, 2-crossed modules in the André-Quillen cohomology (Spanish). Madrid: Real Academia de Ciencias Exactas, Fisicas y Naturales de Madrid (1986; Zbl 0606.13010) OpenURL
Blackadar, Bruce K-theory for operator algebras. (English) Zbl 0597.46072 Mathematical Sciences Research Institute Publications, 5. New York etc.: Springer-Verlag. VII, 338 p. DM 78.00 (1986). Reviewer: H.Strich MSC: 46M20 46L05 46-02 46L55 18F25 PDF BibTeX XML OpenURL
Gutierrez, Mauricio A.; Hirschhorn, Philip S. Free simplicial groups and the second relative homotopy group of an adjunction space. (English) Zbl 0573.55010 J. Pure Appl. Algebra 39, 119-123 (1986). Reviewer: R.Brown MSC: 55Q05 55U10 18G30 PDF BibTeX XML Cite \textit{M. A. Gutierrez} and \textit{P. S. Hirschhorn}, J. Pure Appl. Algebra 39, 119--123 (1986; Zbl 0573.55010) Full Text: DOI OpenURL
Porter, Timothy Crossed modules in Cat and Brown-Spencer theorem for 2-categories. (English) Zbl 0575.18006 Cah. Topol. Géom. Différ. Catégoriques 26, 381-388 (1985). Reviewer: G.Hoff MSC: 18G10 18D05 18D35 55Q99 PDF BibTeX XML Cite \textit{T. Porter}, Cah. Topologie Géom. Différ. Catégoriques 26, 381--388 (1985; Zbl 0575.18006) Full Text: Numdam EuDML OpenURL
Ladra Gonzalez, M. Crossed modules and extensions of groups. (Módulos cruzados y extensiones de grupos.) (Spanish) Zbl 0546.20046 Alxebra, 39. Santiago de Compostela: Universidad de Santiago de Compostela. Prof. E. G.-Rodeja F. vii, 232 p. (1984). Reviewer: R. M. Najar (Fresno) MSC: 20J06 20J05 20-02 18G10 18G15 20E10 20F05 20E22 PDF BibTeX XML OpenURL
Rieffel, Marc A. Dimension and stable rank in the K-theory of \(C^*\)-algebras. (English) Zbl 0533.46046 Proc. Lond. Math. Soc., III. Ser. 46, 301-333 (1983). Reviewer: G.F.Nassopoulos MSC: 46M20 46L05 46L55 18F25 55N15 PDF BibTeX XML Cite \textit{M. A. Rieffel}, Proc. Lond. Math. Soc. (3) 46, 301--333 (1983; Zbl 0533.46046) Full Text: DOI OpenURL
Rakviashvili, G. G. Inductive theorems and projective modules over crossed group rings. (Russian) Zbl 0518.18012 Tr. Tbilis. Mat. Inst. Razmadze 70, 92-107 (1982). MSC: 18F25 16S34 16D40 18F30 PDF BibTeX XML Cite \textit{G. G. Rakviashvili}, Proc. A. Razmadze Math. Inst. 70, 92--107 (1982; Zbl 0518.18012) OpenURL
Porter, Timothy Internal categories and crossed modules. (English) Zbl 0499.18009 Category theory. Applications to algebra, logic and topology, Proc. int. Conf., Gummersbach 1981, Lect. Notes Math. 962, 249-255 (1982). MSC: 18D35 18D05 PDF BibTeX XML OpenURL
Nastasescu, C.; van Oystaeyen, F. Graded ring theory. (English) Zbl 0494.16001 North-Holland Mathematical Library, Vol. 28. Amsterdam - New York - Oxford: North-Holland Publishing Company. IX, 340 p. $ 38.00; Dfl. 100.00 (1982). MSC: 16W50 16-02 PDF BibTeX XML OpenURL
Kassel, Christian; Loday, Jean-Louis Central extensions of Lie algebras. (Extensions centrales d’algèbres de Lie.) (French) Zbl 0485.17006 Ann. Inst. Fourier 32, No. 4, 119-142 (1982). MSC: 17B55 18F25 PDF BibTeX XML Cite \textit{C. Kassel} and \textit{J.-L. Loday}, Ann. Inst. Fourier 32, No. 4, 119--142 (1982; Zbl 0485.17006) Full Text: DOI Numdam EuDML OpenURL
van Osdol, D. H. Long exact sequences in the first variable for algebraic cohomology theories. (English) Zbl 0483.18010 J. Pure Appl. Algebra 23, 271-309 (1982). MSC: 18G50 18C15 13D03 20J05 PDF BibTeX XML Cite \textit{D. H. van Osdol}, J. Pure Appl. Algebra 23, 271--309 (1982; Zbl 0483.18010) Full Text: DOI OpenURL
Julg, Pierre K-théorie équivariante et produits croises. (French) Zbl 0461.46044 C. R. Acad. Sci., Paris, Sér. I 292, 629-632 (1981). MSC: 46L05 46L55 46M20 46H25 18F25 PDF BibTeX XML Cite \textit{P. Julg}, C. R. Acad. Sci., Paris, Sér. I 292, 629--632 (1981; Zbl 0461.46044) OpenURL
Guin-Walery, Dominique; Loday, Jean-Louis Obstruction à l’excision en K-théorie algébrique. (French) Zbl 0461.18007 Algebraic \(K\)-theory, Proc. Conf., Evanston 1980, Lect. Notes Math. 854, 179-216 (1981). MSC: 18F25 18D05 55Q05 PDF BibTeX XML OpenURL
Huebschmann, Johannes Crossed \(n\)-fold extensions of groups and cohomology. (English) Zbl 0443.18019 Comment. Math. Helv. 55, 302-313 (1980). MSC: 18G50 20J05 PDF BibTeX XML Cite \textit{J. Huebschmann}, Comment. Math. Helv. 55, 302--313 (1980; Zbl 0443.18019) Full Text: DOI EuDML OpenURL
Holt, D. F. [Mac Lane, S.] An interpretation of the cohomology groups \(H^ n(G,M)\). (English) Zbl 0699.20040 J. Algebra 60, No. 2, 307-320 (1979). MSC: 20J05 20E22 18G50 18G15 PDF BibTeX XML Cite \textit{D. F. Holt}, J. Algebra 60, 307--320 (1979; Zbl 0699.20040) Full Text: DOI OpenURL