Rights statement: 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
Accepted author manuscript, 360 KB, PDF document
Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Classes of algebras and closure operations
AU - Gutierrez, Ismael
AU - Torresblanca-Badillo, Anselmo
AU - Towers, David
N1 - 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
PY - 2021/5/8
Y1 - 2021/5/8
N2 - Classes of finite solvable (soluble) groups or respectively of Liealgebras and Leibniz algebras have received quite some attention in recentyears. In this paper, we investigate generalizations of some results about theseclasses. Instead of classes of finite solvable (soluble) groups, Lie or Leibniz algebras we consider classes of associative or non-associative algebras and thendefine some particular types of classes like Schunck classes, formations, vari-eties, and Fitting classes in terms of closure operations and we describe someof their closure properties.
AB - Classes of finite solvable (soluble) groups or respectively of Liealgebras and Leibniz algebras have received quite some attention in recentyears. In this paper, we investigate generalizations of some results about theseclasses. Instead of classes of finite solvable (soluble) groups, Lie or Leibniz algebras we consider classes of associative or non-associative algebras and thendefine some particular types of classes like Schunck classes, formations, vari-eties, and Fitting classes in terms of closure operations and we describe someof their closure properties.
U2 - 10.1080/00927872.2021.1877296
DO - 10.1080/00927872.2021.1877296
M3 - Journal article
VL - 49
SP - 2563
EP - 2577
JO - Communications in Algebra
JF - Communications in Algebra
SN - 0092-7872
IS - 6
ER -