The theory of cohomologies on multiplicative Hom--Jordan Lie color triple systems is given. As an application, deformations and extensions on the multiplicative Hom--Jordan Lie color triple system are characterized in view of relevant cohomology.
Citation: Lili Ma, Qiang Li. Cohomology and its applications on multiplicative Hom--Jordan Lie color triple systems[J]. AIMS Mathematics, 2024, 9(9): 25936-25955. doi: 10.3934/math.20241267
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The theory of cohomologies on multiplicative Hom--Jordan Lie color triple systems is given. As an application, deformations and extensions on the multiplicative Hom--Jordan Lie color triple system are characterized in view of relevant cohomology.
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