{ "id": "2305.17399", "version": "v1", "published": "2023-05-27T07:46:06.000Z", "updated": "2023-05-27T07:46:06.000Z", "title": "Nilpotency and Capability in multiplicative Lie algebras", "authors": [ "Amit Kumar", "Mani Shankar Pandey", "Sumit Kumar Upadhyay" ], "categories": [ "math.GR" ], "abstract": "This paper aims to introduce the concept of nilpotency and capability in multiplicative Lie algebras. Also, we see the existence of covers of a multiplicative Lie algebra and thoroughly examine their relationships with capable and perfect multiplicative Lie algebras.", "revisions": [ { "version": "v1", "updated": "2023-05-27T07:46:06.000Z" } ], "analyses": { "keywords": [ "nilpotency", "capability", "perfect multiplicative lie algebras", "paper aims" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }