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Abstract
We define a cup-product in Hom-Leibniz cohomology and show that the cup-product satisfies the graded Hom-Zinbiel relation.
Acknowledgments
The author wish to express his gratitude to the esteemed referee for her/his useful comments and suggestions on the earlier version of the manuscript that have improved the exposition. The author would like to thank Prof. Goutam Mukherjee of Indian Statistical Institute, Kolkata, for his guidance and reading a draft version of this article. The author is also thankful to Apurba Das and Surojit Ghosh for their help and useful comments on this article.