Classes of algebras and closure operations

Gutierrez, Ismael and Torresblanca-Badillo, Anselmo and Towers, David (2021) Classes of algebras and closure operations. Communications in Algebra, 49 (6). pp. 2563-2577. ISSN 0092-7872

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Abstract

Classes of finite solvable (soluble) groups or respectively of Lie algebras and Leibniz algebras have received quite some attention in recent years. In this paper, we investigate generalizations of some results about these classes. Instead of classes of finite solvable (soluble) groups, Lie or Leibniz algebras we consider classes of associative or non-associative algebras and then define some particular types of classes like Schunck classes, formations, vari- eties, and Fitting classes in terms of closure operations and we describe some of their closure properties.

Item Type:

Journal Article

Journal or Publication Title:

Communications in Algebra

Additional Information:

This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 17/01/2021, available online: https://www.tandfonline.com/doi/abs/10.1080/00927872.2021.1877296

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? algebra and number theory ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

154944

Deposited By:

ep_importer_pure

Deposited On:

14 May 2021 10:10

Refereed?:

Yes

Published?:

Published

Last Modified:

28 Oct 2024 01:33

URI:

https://eprints.lancs.ac.uk/id/eprint/154944