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Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited)
In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that ...
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Universal central extensions of Hom-Lie antialgebras
We develop a theory of universal central extensions for Hom-Lie antialgebra. It is proved that a Hom-Lie antialgebra admits a universal central extension if and only if it is perfect. Moreover, we show that the kernel of the universal central extension is equal to the second homology group with trivial coefficients.
Zhang, Tao, Zhong, Deshou
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Cohomology and deformation of Lie superalgebras and representation of Lie antialgebras
2020p.
Saidi, Soumaya, Basdouri, Imed
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