Mabrouk, Sami Deformation of Kupershmidt operators and Kupershmidt-Nijenhuis structures of a Malcev algebra. (English) Zbl 07523309 Hacet. J. Math. Stat. 51, No. 1, 199-217 (2022). MSC: 17D05 17D10 17A30 17A36 PDF BibTeX XML Cite \textit{S. Mabrouk}, Hacet. J. Math. Stat. 51, No. 1, 199--217 (2022; Zbl 07523309) Full Text: DOI OpenURL
Mukherjee, Goutam; Saha, Ripan Equivariant one-parameter formal deformations of Hom-Leibniz algebras. (English) Zbl 07499774 Commun. Contemp. Math. 24, No. 3, Article ID 2050082, 27 p. (2022). MSC: 17A30 17A32 17B56 55N91 PDF BibTeX XML Cite \textit{G. Mukherjee} and \textit{R. Saha}, Commun. Contemp. Math. 24, No. 3, Article ID 2050082, 27 p. (2022; Zbl 07499774) Full Text: DOI OpenURL
Mishra, Satyendra Kumar; Mukherjee, Goutam; Naolekar, Anita Cohomology and deformations of Filippov algebroids. (English) Zbl 07451470 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 2, 25 p. (2022). MSC: 17A30 17B55 17B99 PDF BibTeX XML Cite \textit{S. K. Mishra} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 2, 25 p. (2022; Zbl 07451470) Full Text: DOI arXiv OpenURL
Dokuchaev, Mikhailo; Khrypchenko, Mykola; Makuta, Mayumi Inverse semigroup cohomology and crossed module extensions of semilattices of groups by inverse semigroups. (English) Zbl 07451317 J. Algebra 593, 341-397 (2022). MSC: 20M18 20M30 20M50 PDF BibTeX XML Cite \textit{M. Dokuchaev} et al., J. Algebra 593, 341--397 (2022; Zbl 07451317) Full Text: DOI arXiv OpenURL
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 07453484 J. Geom. Mech. 13, No. 3, 385-402 (2021). MSC: 01A60 17B66 18G45 12G05 12H05 17-03 17B55 20J05 53-03 53D17 55Q15 58H05 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Geom. Mech. 13, No. 3, 385--402 (2021; Zbl 07453484) Full Text: DOI OpenURL
Tao, Yaling; Cao, Yan On split regular BiHom-Poisson color algebras. (English) Zbl 07435670 Open Math. 19, 600-613 (2021). Reviewer: Liangyun Chen (Changchun) MSC: 17B75 17A60 17B22 17B65 PDF BibTeX XML Cite \textit{Y. Tao} and \textit{Y. Cao}, Open Math. 19, 600--613 (2021; Zbl 07435670) Full Text: DOI OpenURL
Hassine, Abdelkader Ben; Chen, Liangyun; Sun, Chang Representations and one-parameter formal deformations of BiHom-Novikov superalgebras. (English) Zbl 07393775 Rocky Mt. J. Math. 51, No. 2, 423-438 (2021). Reviewer: Ivan Kaygorodov (Novosibirsk) MSC: 17D30 PDF BibTeX XML Cite \textit{A. B. Hassine} et al., Rocky Mt. J. Math. 51, No. 2, 423--438 (2021; Zbl 07393775) Full Text: DOI OpenURL
Miaskiwskyi, Lukas Invariant Hochschild cohomology of smooth functions. (English) Zbl 1472.13028 J. Lie Theory 31, No. 2, 557-574 (2021). Reviewer: Tolulope Oke (College Station) MSC: 13D03 16W22 PDF BibTeX XML Cite \textit{L. Miaskiwskyi}, J. Lie Theory 31, No. 2, 557--574 (2021; Zbl 1472.13028) Full Text: arXiv Link OpenURL
Ecker, Jill; Schlichenmaier, Martin The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules. (English) Zbl 1475.17033 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 141-174 (2021). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 17B68 17B65 17B66 14D15 81R10 81T40 PDF BibTeX XML Cite \textit{J. Ecker} and \textit{M. Schlichenmaier}, Banach Cent. Publ. 123, 141--174 (2021; Zbl 1475.17033) Full Text: DOI OpenURL
Akça, İbrahim İlker; Avcıoğlu, Osman Homotopies of crossed complex morphisms of associative \(R\)-algebras. (English) Zbl 1464.18012 Georgian Math. J. 28, No. 2, 163-172 (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 18G35 16B50 20L05 55P99 55U35 PDF BibTeX XML Cite \textit{İ. İ. Akça} and \textit{O. Avcıoğlu}, Georgian Math. J. 28, No. 2, 163--172 (2021; Zbl 1464.18012) Full Text: DOI OpenURL
Attan, Sylvain; Hounnon, Hippolyte; Kpamegan, Bernardin Representations and formal deformations of Hom-Leibniz algebras. (English) Zbl 07337299 Asian-Eur. J. Math. 14, No. 2, Article ID 2150013, 14 p. (2021). MSC: 17A30 17A32 17B10 17B56 PDF BibTeX XML Cite \textit{S. Attan} et al., Asian-Eur. J. Math. 14, No. 2, Article ID 2150013, 14 p. (2021; Zbl 07337299) Full Text: DOI OpenURL
Yadav, R. B.; Behera, Namita; Bhutia, Rinkila Equivariant one-parameter deformations of Lie triple systems. (English) Zbl 1461.17006 J. Algebra 568, 467-479 (2021). Reviewer: Shuangjian Guo (Guiyang) MSC: 17A40 16S80 13D10 13D03 14D15 16E40 55N91 PDF BibTeX XML Cite \textit{R. B. Yadav} et al., J. Algebra 568, 467--479 (2021; Zbl 1461.17006) Full Text: DOI arXiv OpenURL
Koam, Ali N. A.; Saha, Ripan Cohomology and deformations of oriented dialgebras. (English) Zbl 1469.16016 J. Homotopy Relat. Struct. 15, No. 3-4, 511-536 (2020). MSC: 16E40 16E30 17A30 17A32 18M99 PDF BibTeX XML Cite \textit{A. N. A. Koam} and \textit{R. Saha}, J. Homotopy Relat. Struct. 15, No. 3--4, 511--536 (2020; Zbl 1469.16016) Full Text: DOI arXiv OpenURL
Mishra, Satyendra Kumar; Naolekar, Anita \(\mathcal{O}\)-operators on Hom-Lie algebras. (English) Zbl 1477.17070 J. Math. Phys. 61, No. 12, 121701, 19 p. (2020). MSC: 17B38 17B61 PDF BibTeX XML Cite \textit{S. K. Mishra} and \textit{A. Naolekar}, J. Math. Phys. 61, No. 12, 121701, 19 p. (2020; Zbl 1477.17070) Full Text: DOI arXiv OpenURL
Mukherjee, Goutam; Yadav, Raj Bhawan Equivariant one-parameter deformations of associative algebras. (English) Zbl 1440.13064 J. Algebra Appl. 19, No. 6, Article ID 2050114, 18 p. (2020). MSC: 13D03 13D10 14D15 16E40 55M35 55N91 PDF BibTeX XML Cite \textit{G. Mukherjee} and \textit{R. B. Yadav}, J. Algebra Appl. 19, No. 6, Article ID 2050114, 18 p. (2020; Zbl 1440.13064) Full Text: DOI arXiv OpenURL
Saha, Ripan Equivariant associative dialgebras and its one-parameter formal deformations. (English) Zbl 1429.16011 J. Geom. Phys. 146, Article ID 103491, 11 p. (2019). MSC: 16E40 14D15 PDF BibTeX XML Cite \textit{R. Saha}, J. Geom. Phys. 146, Article ID 103491, 11 p. (2019; Zbl 1429.16011) Full Text: DOI OpenURL
Chen, Liangyun; Yi, Yang; Chen, Ming; Tang, Yuling Cohomology and 1-parameter formal deformations of Hom-\(\delta\)-Lie triple systems. (English) Zbl 1473.17011 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 63, 14 p. (2019). MSC: 17A40 17B61 17B56 PDF BibTeX XML Cite \textit{L. Chen} et al., Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 63, 14 p. (2019; Zbl 1473.17011) Full Text: DOI OpenURL
Farahmand Parsa, A.; Safari, H. R.; Sheikh-Jabbari, M. M. On rigidity of 3d asymptotic symmetry algebras. (English) Zbl 1414.81127 J. High Energy Phys. 2019, No. 3, Paper No. 143, 52 p. (2019). MSC: 81R10 81T40 83D05 17B67 17B68 PDF BibTeX XML Cite \textit{A. Farahmand Parsa} et al., J. High Energy Phys. 2019, No. 3, Paper No. 143, 52 p. (2019; Zbl 1414.81127) Full Text: DOI arXiv OpenURL
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators. (English) Zbl 1440.17015 Commun. Math. Phys. 368, No. 2, 665-700 (2019). MSC: 17B55 16T25 17B37 17B38 17B40 17B56 17B62 PDF BibTeX XML Cite \textit{R. Tang} et al., Commun. Math. Phys. 368, No. 2, 665--700 (2019; Zbl 1440.17015) Full Text: DOI arXiv OpenURL
Avcioğlu, Osman; Akça, İbrahim İlker Free modules and crossed modules of \(R\)-algebroids. (English) Zbl 1424.18008 Turk. J. Math. 42, No. 6, 2863-2875 (2018). MSC: 18A40 18D35 18E05 PDF BibTeX XML Cite \textit{O. Avcioğlu} and \textit{İ. İ. Akça}, Turk. J. Math. 42, No. 6, 2863--2875 (2018; Zbl 1424.18008) Full Text: DOI OpenURL
Guo, Shuangjian; Zhang, Xiaohui; Wang, Shengxiang The construction and deformation of BiHom-Novikov algebras. (English) Zbl 1442.17023 J. Geom. Phys. 132, 460-472 (2018). MSC: 17B61 17B38 17D30 PDF BibTeX XML Cite \textit{S. Guo} et al., J. Geom. Phys. 132, 460--472 (2018; Zbl 1442.17023) Full Text: DOI arXiv OpenURL
Ma, Yao; Chen, Liangyun; Lin, Jie Central extensions and deformations of Hom-Lie triple systems. (English) Zbl 1417.17005 Commun. Algebra 46, No. 3, 1212-1230 (2018). MSC: 17A40 17B10 17B56 PDF BibTeX XML Cite \textit{Y. Ma} et al., Commun. Algebra 46, No. 3, 1212--1230 (2018; Zbl 1417.17005) Full Text: DOI arXiv OpenURL
Doran, Charles F.; Faux, Michael G.; Gates, Sylvester J. jun.; Hübsch, Tristan; Iga, Kevin; Landweber, Gregory D. Off-shell supersymmetry and filtered Clifford supermodules. (English) Zbl 1388.81145 Algebr. Represent. Theory 21, No. 2, 375-397 (2018). MSC: 81Q60 15A66 16W70 PDF BibTeX XML Cite \textit{C. F. Doran} et al., Algebr. Represent. Theory 21, No. 2, 375--397 (2018; Zbl 1388.81145) Full Text: DOI arXiv OpenURL
Campos, P.; Martins, M. G. R.; Fernandes, M. C. B.; Vianna, J. D. M. Quantum mechanics on phase space: The hydrogen atom and its Wigner functions. (English) Zbl 1384.81060 Ann. Phys. 390, 60-70 (2018). MSC: 81S30 81V45 PDF BibTeX XML Cite \textit{P. Campos} et al., Ann. Phys. 390, 60--70 (2018; Zbl 1384.81060) Full Text: DOI OpenURL
Sun, Bing; Chen, Liangyun; Ma, Yao \(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras. (English) Zbl 1414.17021 J. Geom. Phys. 116, 281-294 (2017). MSC: 17D25 17A60 17A70 PDF BibTeX XML Cite \textit{B. Sun} et al., J. Geom. Phys. 116, 281--294 (2017; Zbl 1414.17021) Full Text: DOI OpenURL
Ma, Lili; Chen, Liangyun On \(\delta\)-Jordan Lie triple systems. (English) Zbl 1418.17010 Linear Multilinear Algebra 65, No. 4, 731-751 (2017). MSC: 17A40 17B30 17B05 17B56 PDF BibTeX XML Cite \textit{L. Ma} and \textit{L. Chen}, Linear Multilinear Algebra 65, No. 4, 731--751 (2017; Zbl 1418.17010) Full Text: DOI OpenURL
Van, Hoang Dinh; Liu, Liyu; Lowen, Wendy Non-commutative deformations and quasi-coherent modules. (English) Zbl 1364.13013 Sel. Math., New Ser. 23, No. 2, 1061-1119 (2017). Reviewer: Arvid Siqveland (Kongsberg) MSC: 13D10 14A22 18E15 PDF BibTeX XML Cite \textit{H. D. Van} et al., Sel. Math., New Ser. 23, No. 2, 1061--1119 (2017; Zbl 1364.13013) Full Text: DOI arXiv Link OpenURL
Basdouri, Okba Deformation of \(\mathfrak{aff}(1)\)-modules of pseudo-differential operators and symbols. (English) Zbl 1391.17019 J. Pseudo-Differ. Oper. Appl. 7, No. 2, 157-179 (2016). MSC: 17B56 47F05 53D55 58H15 PDF BibTeX XML Cite \textit{O. Basdouri}, J. Pseudo-Differ. Oper. Appl. 7, No. 2, 157--179 (2016; Zbl 1391.17019) Full Text: DOI OpenURL
Dekimpe, Karel; Hartl, Manfred; Wauters, Sarah An explicit seven-term exact sequence for the cohomology of a Lie algebra extension. (English) Zbl 1404.17033 Commun. Algebra 44, No. 3, 1321-1349 (2016). MSC: 17B56 18G60 PDF BibTeX XML Cite \textit{K. Dekimpe} et al., Commun. Algebra 44, No. 3, 1321--1349 (2016; Zbl 1404.17033) Full Text: DOI arXiv OpenURL
Cigoli, Alan S.; Metere, Giuseppe Extension theory and the calculus of butterflies. (English) Zbl 1342.18027 J. Algebra 458, 87-119 (2016). Reviewer: Nadia Mazza (Lancaster) MSC: 18G50 08C05 20J06 18D30 PDF BibTeX XML Cite \textit{A. S. Cigoli} and \textit{G. Metere}, J. Algebra 458, 87--119 (2016; Zbl 1342.18027) Full Text: DOI OpenURL
Lowen, Wendy Linearized topologies and deformation theory. (English) Zbl 1342.18024 Topology Appl. 200, 176-211 (2016). Reviewer: Friedrich Wagemann (Nantes) MSC: 18F10 18E15 18E35 18F20 14D15 PDF BibTeX XML Cite \textit{W. Lowen}, Topology Appl. 200, 176--211 (2016; Zbl 1342.18024) Full Text: DOI OpenURL
Faria Martins, João Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy. (English) Zbl 1332.57029 J. Geom. Phys. 99, 68-110 (2016). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 57T05 PDF BibTeX XML Cite \textit{J. Faria Martins}, J. Geom. Phys. 99, 68--110 (2016; Zbl 1332.57029) Full Text: DOI arXiv OpenURL
Lin, Jie; Chen, Liang Yun; Ma, Yao On the deformation of Lie-Yamaguti algebras. (English) Zbl 1372.17023 Acta Math. Sin., Engl. Ser. 31, No. 6, 938-946 (2015). Reviewer: Alberto Elduque (Zaragoza) MSC: 17D99 17A40 17B56 17B60 PDF BibTeX XML Cite \textit{J. Lin} et al., Acta Math. Sin., Engl. Ser. 31, No. 6, 938--946 (2015; Zbl 1372.17023) Full Text: DOI arXiv Link OpenURL
Rivière, Salim; Wagemann, Friedrich On the string Lie algebra. (English) Zbl 1372.17017 Algebr. Represent. Theory 18, No. 4, 1071-1099 (2015). Reviewer: José Manuel Casas Mirás (Pontevedra) MSC: 17B56 17B35 18D05 PDF BibTeX XML Cite \textit{S. Rivière} and \textit{F. Wagemann}, Algebr. Represent. Theory 18, No. 4, 1071--1099 (2015; Zbl 1372.17017) Full Text: DOI arXiv OpenURL
Ma, Yao; Chen, Liangyun; Lin, Jie One-parameter formal deformations of Hom-Lie-Yamaguti algebras. (English) Zbl 1393.17009 J. Math. Phys. 56, No. 1, 011701, 12 p. (2015). MSC: 17A40 17A30 PDF BibTeX XML Cite \textit{Y. Ma} et al., J. Math. Phys. 56, No. 1, 011701, 12 p. (2015; Zbl 1393.17009) Full Text: DOI arXiv OpenURL
Fialowski, Alice; Penkava, Michael Extensions of associative algebras. (English) Zbl 1311.16023 Commun. Contemp. Math. 16, No. 3, Article ID 1450014, 29 p. (2014). Reviewer: Frauke Bleher (Iowa City) MSC: 16S70 16E40 16S80 PDF BibTeX XML Cite \textit{A. Fialowski} and \textit{M. Penkava}, Commun. Contemp. Math. 16, No. 3, Article ID 1450014, 29 p. (2014; Zbl 1311.16023) Full Text: DOI arXiv OpenURL
Cattaneo, A. S.; Zambon, M. A supergeometric approach to Poisson reduction. (English) Zbl 1267.53088 Commun. Math. Phys. 318, No. 3, 675-716 (2013). Reviewer: Liviu Popescu (Craiova) MSC: 53D17 58C50 17B63 53D20 PDF BibTeX XML Cite \textit{A. S. Cattaneo} and \textit{M. Zambon}, Commun. Math. Phys. 318, No. 3, 675--716 (2013; Zbl 1267.53088) Full Text: DOI arXiv OpenURL
Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun; Eshaghi Gordji, Madjid Comment on “Stability of \((\alpha,\beta,\gamma)\)-derivations on Lie \(C^*\)-algebras” by M. Eshaghi Gordji and N. Ghobadipour. (English) Zbl 1282.39034 Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220027, 8 p. (2013). Reviewer: Camillo Trapani (Palermo) MSC: 39B82 39B52 46L57 PDF BibTeX XML Cite \textit{C. Park} et al., Int. J. Geom. Methods Mod. Phys. 10, No. 2, Paper No. 1220027, 8 p. (2013; Zbl 1282.39034) Full Text: DOI OpenURL
Bodin, Derek; Decleene, Christopher; Hager, William; Otto, Carolyn; Penkava, Michael; Phillipson, Mitch; Steinbach, Ryan; Weber, Eric The moduli space of \(1|1\)-dimensional complex associative algebras. (English) Zbl 1285.16025 Commun. Contemp. Math. 14, No. 5, 1250030, 25 p. (2012). MSC: 16S80 16E40 16W55 PDF BibTeX XML Cite \textit{D. Bodin} et al., Commun. Contemp. Math. 14, No. 5, 1250030, 25 p. (2012; Zbl 1285.16025) Full Text: DOI arXiv OpenURL
Cirio, Lucio Simone; Faria Martins, João Categorifying the Knizhnik-Zamolodchikov connection. (English) Zbl 1270.53077 Differ. Geom. Appl. 30, No. 3, 238-261 (2012). MSC: 53C29 16T25 20F36 18D05 17B37 57Q45 PDF BibTeX XML Cite \textit{L. S. Cirio} and \textit{J. Faria Martins}, Differ. Geom. Appl. 30, No. 3, 238--261 (2012; Zbl 1270.53077) Full Text: DOI arXiv OpenURL
Hayami, Takao Hochschild cohomology ring of the integral group ring of the semidihedral 2-group. (English) Zbl 1214.16009 Algebra Colloq. 18, No. 2, 241-258 (2011). MSC: 16E40 20J06 16S34 20C05 PDF BibTeX XML Cite \textit{T. Hayami}, Algebra Colloq. 18, No. 2, 241--258 (2011; Zbl 1214.16009) Full Text: DOI Link OpenURL
Konopelchenko, B. G. On the deformation theory of structure constants for associative algebras. (English) Zbl 1200.14004 Adv. Math. Phys. 2010, Article ID 389091, 21 p. (2010). MSC: 14A22 16S80 14D15 PDF BibTeX XML Cite \textit{B. G. Konopelchenko}, Adv. Math. Phys. 2010, Article ID 389091, 21 p. (2010; Zbl 1200.14004) Full Text: DOI arXiv EuDML OpenURL
Kriz, Igor Perturbative deformations of conformal field theories revisited. (English) Zbl 1185.83026 Rev. Math. Phys. 22, No. 2, 117-192 (2010). MSC: 83E30 53D37 81T15 81T40 PDF BibTeX XML Cite \textit{I. Kriz}, Rev. Math. Phys. 22, No. 2, 117--192 (2010; Zbl 1185.83026) Full Text: DOI arXiv 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
Keller, Bernhard; Lowen, Wendy; Nicolás, Pedro On the (non)vanishing of some “derived” categories of curved dg algebras. (English) Zbl 1238.16010 J. Pure Appl. Algebra 214, No. 7, 1271-1284 (2010). MSC: 16E45 18D30 16S80 PDF BibTeX XML Cite \textit{B. Keller} et al., J. Pure Appl. Algebra 214, No. 7, 1271--1284 (2010; Zbl 1238.16010) Full Text: DOI arXiv Link OpenURL
Hazewinkel, Michiel Witt vectors. I. (English) Zbl 1221.13036 Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 319-472 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 13F35 05E15 16T30 16T05 PDF BibTeX XML Cite \textit{M. Hazewinkel}, Handb. Algebra 6, 319--472 (2009; Zbl 1221.13036) Full Text: DOI arXiv OpenURL
Fialowski, Alice; Penkava, Michael The moduli space of 3-dimensional associative algebras. (English) Zbl 1183.14019 Commun. Algebra 37, No. 10, 3666-3685 (2009). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14D15 13D10 14B12 16S80 16E40 17B55 17B70 PDF BibTeX XML Cite \textit{A. Fialowski} and \textit{M. Penkava}, Commun. Algebra 37, No. 10, 3666--3685 (2009; Zbl 1183.14019) Full Text: DOI arXiv OpenURL
Mandal, Ashis; Mukherjee, Goutam Deformation of Leibniz algebra morphisms over commutative local algebra base. (English) Zbl 1171.13010 Commun. Algebra 37, No. 7, 2246-2266 (2009). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 17A32 17B55 13D10 14D15 13D03 PDF BibTeX XML Cite \textit{A. Mandal} and \textit{G. Mukherjee}, Commun. Algebra 37, No. 7, 2246--2266 (2009; Zbl 1171.13010) Full Text: DOI OpenURL
Fialowski, Alice; Mandal, Ashis; Mukherjee, Goutam Versal deformations of Leibniz algebras. (English) Zbl 1191.17001 J. \(K\)-Theory 3, No. 2, 327-358 (2009). Reviewer: Teimuraz Pirashvili (Leicester) MSC: 17A32 13D10 14D15 13D03 PDF BibTeX XML Cite \textit{A. Fialowski} et al., J. \(K\)-Theory 3, No. 2, 327--358 (2009; Zbl 1191.17001) Full Text: DOI arXiv Link OpenURL
Lejeune-Jalabert, Monique; Teissier, Bernard Integral closure of ideals and equisingularity. (Clôture intégrale des idéaux et équisingularité.) (French) Zbl 1171.13005 Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 4, 781-859 (2008). Reviewer: Marcel Morales (Saint-Martin-d’Heres) MSC: 13B22 13A18 13A30 14B05 14B12 PDF BibTeX XML Cite \textit{M. Lejeune-Jalabert} and \textit{B. Teissier}, Ann. Fac. Sci. Toulouse, Math. (6) 17, No. 4, 781--859 (2008; Zbl 1171.13005) Full Text: DOI Numdam EuDML OpenURL
Hayami, Takao Hochschild cohomology ring of an order of a simple component of the rational group ring of the generalized quaternion group. (English) Zbl 1148.16008 Commun. Algebra 36, No. 7, 2785-2803 (2008). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16E40 20J06 16S34 20C05 16H05 PDF BibTeX XML Cite \textit{T. Hayami}, Commun. Algebra 36, No. 7, 2785--2803 (2008; Zbl 1148.16008) Full Text: DOI OpenURL
Fialowski, Alice Deformations in mathematics and physics. (English) Zbl 1140.81416 Int. J. Theor. Phys. 47, No. 2, 333-337 (2008). MSC: 81R50 17B37 PDF BibTeX XML Cite \textit{A. Fialowski}, Int. J. Theor. Phys. 47, No. 2, 333--337 (2008; Zbl 1140.81416) Full Text: DOI OpenURL
Makhlouf, Abdenacer A comparison of deformations and geometric study of varieties of associative algebras. (English) Zbl 1167.16025 Int. J. Math. Math. Sci. 2007, Article ID 18915, 24 p. (2007). Reviewer: Frauke Bleher (Iowa City) MSC: 16S80 16P10 14D15 PDF BibTeX XML Cite \textit{A. Makhlouf}, Int. J. Math. Math. Sci. 2007, Article ID 18915, 24 p. (2007; Zbl 1167.16025) Full Text: DOI arXiv EuDML OpenURL
Fialowski, A.; Schlichenmaier, M. Global geometric deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras. (English) Zbl 1127.81021 Int. J. Theor. Phys. 46, No. 11, 2708-2724 (2007). MSC: 17B68 81T40 81T10 PDF BibTeX XML Cite \textit{A. Fialowski} and \textit{M. Schlichenmaier}, Int. J. Theor. Phys. 46, No. 11, 2708--2724 (2007; Zbl 1127.81021) Full Text: DOI arXiv OpenURL
Tong, Jie; Jin, Quanqin Non-commutative Poisson algebra structures on the Lie algebra \(\mathrm{so}_n\widetilde{({\mathbb C}_q)}\). (English) Zbl 1130.53057 Algebra Colloq. 14, No. 3, 521-536 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B63 PDF BibTeX XML Cite \textit{J. Tong} and \textit{Q. Jin}, Algebra Colloq. 14, No. 3, 521--536 (2007; Zbl 1130.53057) Full Text: DOI Link OpenURL
Lowen, Wendy; van den Bergh, Michel Deformation theory of abelian categories. (English) Zbl 1113.13009 Trans. Am. Math. Soc. 358, No. 12, 5441-5483 (2006). Reviewer: Arvid Siqveland (Kongsberg) MSC: 13D10 14A22 18E15 PDF BibTeX XML Cite \textit{W. Lowen} and \textit{M. van den Bergh}, Trans. Am. Math. Soc. 358, No. 12, 5441--5483 (2006; Zbl 1113.13009) Full Text: DOI arXiv Backlinks: MO OpenURL
Wagemann, Friedrich On Lie algebra crossed modules. (English) Zbl 1118.17004 Commun. Algebra 34, No. 5, 1699-1722 (2006). Reviewer: Jerry M. Lodder (Las Cruces) MSC: 17B55 17B66 17B20 PDF BibTeX XML Cite \textit{F. Wagemann}, Commun. Algebra 34, No. 5, 1699--1722 (2006; Zbl 1118.17004) Full Text: DOI arXiv OpenURL
Yau, Donald Deformation of algebras over the Landweber-Novikov algebra. (English) Zbl 1150.16023 J. Algebra 298, No. 2, 507-523 (2006). MSC: 16S80 55S25 16E40 PDF BibTeX XML Cite \textit{D. Yau}, J. Algebra 298, No. 2, 507--523 (2006; Zbl 1150.16023) Full Text: DOI arXiv OpenURL
Waldmann, Stefan States and representations in deformation quantization. (English) Zbl 1138.53316 Rev. Math. Phys. 17, No. 1, 15-75 (2005). MSC: 53D55 46L65 53D17 81S10 PDF BibTeX XML Cite \textit{S. Waldmann}, Rev. Math. Phys. 17, No. 1, 15--75 (2005; Zbl 1138.53316) Full Text: DOI arXiv OpenURL
Yau, Donald Deformation theory of modules. (English) Zbl 1135.16029 Commun. Algebra 33, No. 7, 2351-2359 (2005). Reviewer: Goutam Mukherjee (Kolkata) MSC: 16S80 16E40 PDF BibTeX XML Cite \textit{D. Yau}, Commun. Algebra 33, No. 7, 2351--2359 (2005; Zbl 1135.16029) Full Text: DOI arXiv OpenURL
Kubo, Fujio; Taniguchi, Yoshiaki A controlling cohomology of the deformation theory of Lie triple systems. (English) Zbl 1065.17010 J. Algebra 278, No. 1, 242-250 (2004). Reviewer: Gordon Brown (Boulder) MSC: 17B56 17A40 PDF BibTeX XML Cite \textit{F. Kubo} and \textit{Y. Taniguchi}, J. Algebra 278, No. 1, 242--250 (2004; Zbl 1065.17010) Full Text: DOI OpenURL
Li, Haisheng Vertex algebras and vertex Poisson algebras. (English) Zbl 1050.17024 Commun. Contemp. Math. 6, No. 1, 61-110 (2004). MSC: 17B69 81R10 PDF BibTeX XML Cite \textit{H. Li}, Commun. Contemp. Math. 6, No. 1, 61--110 (2004; Zbl 1050.17024) Full Text: DOI arXiv OpenURL
Beligiannis, Apostolos Cleft extensions of abelian categories and applications to ring theory. (English) Zbl 0964.18005 Commun. Algebra 28, No. 10, 4503-4546 (2000). Reviewer: Alexander Zimmermann (Amiens) MSC: 18E30 18E10 16D90 18C15 PDF BibTeX XML Cite \textit{A. Beligiannis}, Commun. Algebra 28, No. 10, 4503--4546 (2000; Zbl 0964.18005) Full Text: DOI OpenURL
Kubo, Fujio Non-commutative Poisson algebra structures on affine Kac-Moody algebras. (English) Zbl 0973.17029 J. Pure Appl. Algebra 126, No. 1-3, 267-286 (1998). MSC: 17B63 17B67 17A32 PDF BibTeX XML Cite \textit{F. Kubo}, J. Pure Appl. Algebra 126, No. 1--3, 267--286 (1998; Zbl 0973.17029) Full Text: DOI OpenURL
Donin, Joseph On the quantization of Poisson brackets. (English) Zbl 0931.53040 Adv. Math. 127, No. 1, 73-93 (1997). Reviewer: L.G.Makar-Limanov (Detroit) MSC: 53D17 53D55 PDF BibTeX XML Cite \textit{J. Donin}, Adv. Math. 127, No. 1, 73--93 (1997; Zbl 0931.53040) Full Text: DOI arXiv OpenURL
Kubo, Fujio Finite-dimensional non-commutative Poisson algebras. (English) Zbl 0872.16020 J. Pure Appl. Algebra 113, No. 3, 307-314 (1996). Reviewer: Andy R. Magid (Norman) MSC: 16W10 17B63 16W25 PDF BibTeX XML Cite \textit{F. Kubo}, J. Pure Appl. Algebra 113, No. 3, 307--314 (1996; Zbl 0872.16020) Full Text: DOI OpenURL
Fox, Thomas F. An introduction to algebraic deformation theory. (English) Zbl 0772.18006 J. Pure Appl. Algebra 84, No. 1, 17-41 (1993). Reviewer: M.Golasiński (Toruń) MSC: 18C15 16S80 16E40 13D10 PDF BibTeX XML Cite \textit{T. F. Fox}, J. Pure Appl. Algebra 84, No. 1, 17--41 (1993; Zbl 0772.18006) Full Text: DOI 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
Gerstenhaber, Murray; Schack, S. D. A Hodge-type decomposition for commutative algebra cohomology. (English) Zbl 0671.13007 J. Pure Appl. Algebra 48, 229-247 (1987). Reviewer: L.Bican MSC: 13D03 55U99 PDF BibTeX XML Cite \textit{M. Gerstenhaber} and \textit{S. D. Schack}, J. Pure Appl. Algebra 48, 229--247 (1987; Zbl 0671.13007) Full Text: DOI OpenURL
Cegarra, A. M.; Bullejos, M.; Garzón, A. R. Higher dimensional obstruction theory in algebraic categories. (English) Zbl 0634.18004 J. Pure Appl. Algebra 49, 43-102 (1987). Reviewer: H.J.Munkholm MSC: 18C15 PDF BibTeX XML Cite \textit{A. M. Cegarra} et al., J. Pure Appl. Algebra 49, 43--102 (1987; Zbl 0634.18004) 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
Porter, T. Extensions, crossed modules and internal categories in categories of groups with operations. (English) Zbl 0595.18006 Proc. Edinb. Math. Soc., II. Ser. 30, 373-381 (1987). MSC: 18G55 20N99 55U35 18D35 18C05 PDF BibTeX XML Cite \textit{T. Porter}, Proc. Edinb. Math. Soc., II. Ser. 30, 373--381 (1987; Zbl 0595.18006) Full Text: DOI OpenURL
Cegarra, Antonio M.; Aznar, Enrique R. An exact sequence in the first variable for torsor cohomology: the 2-dimensional theory of obstructions. (English) Zbl 0587.18007 J. Pure Appl. Algebra 39, 197-250 (1986). Reviewer: Don H. Van Osdol (Durham) MSC: 18G50 18B25 16E40 PDF BibTeX XML Cite \textit{A. M. Cegarra} and \textit{E. R. Aznar}, J. Pure Appl. Algebra 39, 197--250 (1986; Zbl 0587.18007) Full Text: DOI OpenURL
Vale, María J. Torsors and special extensions. (English) Zbl 0578.18010 Cah. Topol. Géom. Différ. Catégoriques 26, 63-90 (1985). Reviewer: G.Hoff MSC: 18G30 18C15 17B56 20J06 18G05 PDF BibTeX XML Cite \textit{M. J. Vale}, Cah. Topologie Géom. Différ. Catégoriques 26, 63--90 (1985; Zbl 0578.18010) Full Text: Numdam EuDML OpenURL
Gerstenhaber, M.; Schack, S. D. On the deformation of algebra morphisms and diagrams. (English) Zbl 0544.18005 Trans. Am. Math. Soc. 279, 1-50 (1983). Reviewer: G.Hoff MSC: 18G25 16S80 55N35 18G10 32G05 16E40 PDF BibTeX XML Cite \textit{M. Gerstenhaber} and \textit{S. D. Schack}, Trans. Am. Math. Soc. 279, 1--50 (1983; Zbl 0544.18005) Full Text: DOI Backlinks: MO OpenURL
Lue, Abraham S.-T. Cohomology of groups relative to a variety. (English) Zbl 0468.20044 J. Algebra 69, 155-174 (1981). MSC: 20J05 20E10 20E22 PDF BibTeX XML Cite \textit{A. S. T. Lue}, J. Algebra 69, 155--174 (1981; Zbl 0468.20044) Full Text: DOI OpenURL
Fox, Thomas F. Algebraic deformations and triple cohomology. (English) Zbl 0457.16016 Proc. Am. Math. Soc. 78, 467-472 (1980). MSC: 16S80 16B50 17B56 13D10 18D20 18C15 PDF BibTeX XML Cite \textit{T. F. Fox}, Proc. Am. Math. Soc. 78, 467--472 (1980; Zbl 0457.16016) Full Text: DOI OpenURL
Navarro Aznar, V. Conditions de Whitney et sections planes. (French) Zbl 0449.32013 Invent. Math. 61, 199-225 (1980). MSC: 32S60 58A35 57N80 PDF BibTeX XML Cite \textit{V. Navarro Aznar}, Invent. Math. 61, 199--225 (1980; Zbl 0449.32013) Full Text: DOI EuDML OpenURL
Puppe, Volker Deformations of algebras and cohomology of fixed point sets. (English) Zbl 0418.57015 Manuscr. Math. 30, 119-136 (1979). MSC: 57S15 57S17 55M35 PDF BibTeX XML Cite \textit{V. Puppe}, Manuscr. Math. 30, 119--136 (1979; Zbl 0418.57015) Full Text: DOI EuDML OpenURL
Coffee, Jane Purcell On the rigidity of graded algebras. (English) Zbl 0389.16014 Proc. Am. Math. Soc. 76, 219-222 (1979). MSC: 16S80 16W50 13D10 PDF BibTeX XML Cite \textit{J. P. Coffee}, Proc. Am. Math. Soc. 76, 219--222 (1979; Zbl 0389.16014) Full Text: DOI OpenURL
Leedham-Green, Charles R.; McKay, Susan Baer-invariants, isologism, varietal laws and homology. (English) Zbl 0364.20036 Acta Math. 137, 99-150 (1976). MSC: 20E10 20J05 PDF BibTeX XML Cite \textit{C. R. Leedham-Green} and \textit{S. McKay}, Acta Math. 137, 99--150 (1976; Zbl 0364.20036) Full Text: DOI OpenURL
Mac Lane, Saunders Topology and logic as a source of algebra. (English) Zbl 0324.55001 Bull. Am. Math. Soc. 82, 1-40 (1976). MSC: 55-02 06-02 12G99 12F05 18-02 20J06 18G15 55U20 57T30 15A69 20J05 PDF BibTeX XML Cite \textit{S. Mac Lane}, Bull. Am. Math. Soc. 82, 1--40 (1976; Zbl 0324.55001) Full Text: DOI OpenURL
Coffee, Jane Purcell Filtered and associated graded rings. (English) Zbl 0262.16028 Bull. Am. Math. Soc. 78, 584-587 (1972). MSC: 16S80 16E40 PDF BibTeX XML Cite \textit{J. P. Coffee}, Bull. Am. Math. Soc. 78, 584--587 (1972; Zbl 0262.16028) Full Text: DOI OpenURL
Orzech, G. Obstruction theory in algebraic categories. I. (English) Zbl 0251.18016 J. pure appl. Algebra 2, 287-314 (1972). MSC: 18G99 18C15 PDF BibTeX XML Cite \textit{G. Orzech}, J. Pure Appl. Algebra 2, 287--314 (1972; Zbl 0251.18016) Full Text: DOI OpenURL
Kleiman, Steven L.; Landolfi, John Geometry and deformation of special Schubert varieties. (English) Zbl 0238.14006 Compos. Math. 23, 407-434 (1971). MSC: 14C99 13B10 14M15 14E05 PDF BibTeX XML Cite \textit{S. L. Kleiman} and \textit{J. Landolfi}, Compos. Math. 23, 407--434 (1971; Zbl 0238.14006) Full Text: Numdam EuDML OpenURL
Lue, A. S.-T. Cohomology of algebras relative to a variety. (English) Zbl 0211.53404 Math. Z. 121, 220-232 (1971). MSC: 14F99 PDF BibTeX XML Cite \textit{A. S. T. Lue}, Math. Z. 121, 220--232 (1971; Zbl 0211.53404) Full Text: DOI EuDML OpenURL
Lue, A. S.-T. Cohomology of algebras relative to a variety. (English) Zbl 0204.54601 Math. Z. 121, 220-232 (1971). PDF BibTeX XML Cite \textit{A. S. T. Lue}, Math. Z. 121, 220--232 (1971; Zbl 0204.54601) Full Text: DOI EuDML OpenURL
Levy-Nahas, Moniuqe Two simple applications of the deformation of Lie algebras. (English) Zbl 0204.36101 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 13, 221-227 (1970). MSC: 17B56 PDF BibTeX XML Cite \textit{M. Levy-Nahas}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 13, 221--227 (1970; Zbl 0204.36101) Full Text: Numdam EuDML OpenURL
Shimada, Nobuo; Uehara, Hiroshi; Brenneman, Frank; Iwai, Akira Triple cohomology of algebras and two term extensions. (English) Zbl 0259.18017 Publ. Res. Inst. Math. Sci., Kyoto Univ. 5, 267-285 (1969). MSC: 18C15 17B56 17B55 08A99 PDF BibTeX XML Cite \textit{N. Shimada} et al., Publ. Res. Inst. Math. Sci. 5, 267--285 (1969; Zbl 0259.18017) Full Text: DOI OpenURL
Rinehart, G. S. Satellites and cohomology. (English) Zbl 0181.03101 J. Algebra 12, 295-329 (1969). PDF BibTeX XML Cite \textit{G. S. Rinehart}, J. Algebra 12, 295--329 (1969; Zbl 0181.03101) Full Text: DOI OpenURL
Gerstenhaber, M. The obstruction to an automorphism of a filtered ring. (English) Zbl 0175.31301 Bull. Am. Math. Soc. 74, 695-697 (1968). PDF BibTeX XML Cite \textit{M. Gerstenhaber}, Bull. Am. Math. Soc. 74, 695--697 (1968; Zbl 0175.31301) Full Text: DOI OpenURL
Barr, M. A note on commutative algebra cohomology. (English) Zbl 0157.04602 Bull. Am. Math. Soc. 74, 310-313 (1968). PDF BibTeX XML Cite \textit{M. Barr}, Bull. Am. Math. Soc. 74, 310--313 (1968; Zbl 0157.04602) Full Text: DOI OpenURL
Gerstenhaber, M. The third cohomology group of a ring and the commutative cohomology theory. (English) Zbl 0159.04701 Bull. Am. Math. Soc. 73, 950-954 (1967). PDF BibTeX XML Cite \textit{M. Gerstenhaber}, Bull. Am. Math. Soc. 73, 950--954 (1967; Zbl 0159.04701) Full Text: DOI OpenURL
Lichtenbaum, S.; Schlessinger, M. The cotangent complex of a morphism. (English) Zbl 0156.27201 Trans. Am. Math. Soc. 128, 41-70 (1967). PDF BibTeX XML Cite \textit{S. Lichtenbaum} and \textit{M. Schlessinger}, Trans. Am. Math. Soc. 128, 41--70 (1967; Zbl 0156.27201) Full Text: DOI OpenURL