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arXiv · 2010.08724

Quasi-algebra, a special sample of quasilinear spaces

Reza Dehghanizade·Seyed Mohamad Sadegh Modarres Mosadegh
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Abstract

Similar to linear spaces, many examples of quasilinear spaces have a notion of multiplication of the elements. To characterising these examples, in the present paper we generalize the notion of quasilinear spaces and introduce quasi-algebras and normed quasi-algebras with the help of what was done in constructing algebras. After examining some properties of these new spaces, we introduce the concept of quasi-homomorphisms that is an instance of a quasilinear operator. Moreover since the study of spaces with algebraic structures cannot be completed without the study of spectrums, we define the concept of quasi-spectrum on quasi-algebras as we expect it to be.

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BibTeXRIS

Reza Dehghanizade, Seyed Mohamad Sadegh Modarres Mosadegh. 2020-10-17. Quasi-algebra, a special sample of quasilinear spaces. https://arxiv.org/abs/2010.08724

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