Prime radicals of directed pseudo-ordered rings

DOI10.1007/s10958-021-05525-wzbMath1505.06020OpenAlexW3198916181MaRDI QIDQ822662

E. E. Shirshova, Alexander V. Mikhalev

Publication date: 23 September 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05525-w

zbMATH Keywords

almost orthogonal elements\(\mathcal{AO}\)-group\(\mathcal{AO}\)-ordered ring\(\mathcal{AO}\)-prime radicalpartial pseudo-orderingpseudo-\(t\)-nilpotent

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) General radicals and associative rings (16N80) Ordered groups (group-theoretic aspects) (20F60)

Related Items (4)

The projective geometry over partially ordered skew fields ⋮ Prime radicals of directed pseudo-ordered algebras over directed fields ⋮ Interpolation pseudo-ordered rings ⋮ Interpolation pseudo-ordered algebras over partially ordered fields

Cites Work

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• On linear \(\mathcal K\)-ordered rings
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• On linearly ordered linear algebras
• On groups with the almost orthogonality condition
• Prime Ideals and the Lower Radical
• On a generalization of the notion of orthogonality and on the Riesz groups

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