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In this paper we define a new type of cohomology for multiplicative Hom-associative algebras, which generalizes Hom-type Hochschild cohomology and fits with deformations of Hom-associative algebras including the deformation of the structure map $\alpha$. Moreover, we provide various observations and similarly a new type cohomology of Hom-bialgebras extending the Gerstenhaber-Schack cohomology for Hom-bialgebras and fitting with formal deformations including deformations of the structure map.
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참고문헌 (15)
참고문헌 신청
F. Ammar / 2011 / Cohomology and deformations of Hom-algebras / J. Lie Theory 21(4):813~836
Khadra Dekkar / 2016 / Gerstenhaber–Schack cohomology for Hom-bialgebras and deformations / Communications in Algebra 45(10):4400~4428
Y. Fregier / 2009 / The L1-deformation complex of diagrams of algebras / New York J. Math 15:353~392
Yaël Frégier / 2015 / Simultaneous deformations of algebras and morphisms via derived brackets / Journal of Pure and Applied Algebra 219(12):5344~5362
Murray Gerstenhaber / 1964 / On the Deformation of Rings and Algebras / The Annals of Mathematics 79(1):59~103
Khadra Dekkar / 2016 / Gerstenhaber–Schack cohomology for Hom-bialgebras and deformations / Communications in Algebra 45(10):4400~4428
Y. Fregier / 2009 / The L1-deformation complex of diagrams of algebras / New York J. Math 15:353~392
Yaël Frégier / 2015 / Simultaneous deformations of algebras and morphisms via derived brackets / Journal of Pure and Applied Algebra 219(12):5344~5362
Murray Gerstenhaber / 1964 / On the Deformation of Rings and Algebras / The Annals of Mathematics 79(1):59~103
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