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Fundam. Prikl. Mat., 2016, Volume 21, Issue 4, Pages 249–263 (Mi fpm1754)  

On partially ordered algebras over fields

E. E. Shirshova

Moscow State Pedagogical University

Abstract: Characteristics of partially ordered algebras over partially ordered fields are considered. Characteristics of ideals of $\mathcal K$-ordered algebras over directed fields are described. Properties of convex directed ideals in interpolation $\mathcal K$-ordered algebras over partially ordered fields are investigated. Some theorems are proved for ideals of linearly $\mathcal K$-ordered algebras over directed fields.

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Bibliographic databases:

UDC: 512.545

Citation: E. E. Shirshova, “On partially ordered algebras over fields”, Fundam. Prikl. Mat., 21:4 (2016), 249–263

Citation in format AMSBIB
\Bibitem{Shi16}
\by E.~E.~Shirshova
\paper On partially ordered algebras over fields
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 4
\pages 249--263
\mathnet{http://mi.mathnet.ru/fpm1754}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3783803}


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  • Фундаментальная и прикладная математика
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