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Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited)

open access: yesNeutrosophic Sets and Systems, 2020
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

open access: yes, 2019
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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