Hyperidentities of groups and semigroups.
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George M. Bergman (1981)
Aequationes mathematicae
George M. Bergman (1981)
Aequationes mathematicae
C. Léger (1989)
Diagrammes
Dev Karan Singh, Mani Shankar Pandey, Shiv Datt Kumar (2024)
Czechoslovak Mathematical Journal
This paper aims to introduce and explore the concept of Lie perfect multiplicative Lie algebras, with a particular focus on their connections to the central extension theory of multiplicative Lie algebras. The primary objective is to establish and provide proof for a range of results derived from Lie perfect multiplicative Lie algebras. Furthermore, the study extends the notion of Lie nilpotency by introducing and examining the concept of local nilpotency within multiplicative Lie algebras. The...
Georg Peschke (1989)
Publicacions Matemàtiques
When localizing the semidirect product of two groups, the effect on the factors is made explicit. As an application in Topology, we show that the loop space of a based connected CW-complex is a P-local group, up to homotopy, if and only if π1X and the free homotopy groups [Sk-1, ΩX], k ≥ 2, are P-local.
P. Hoyer (1899)
Mathematische Annalen
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