Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited

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Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited

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Kissin, Edward, Shulman, Victor S. and Turovskii, Yuri V. (2021) Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited. Order, 38. pp. 143-201. ISSN 0167-8094

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Abstract

We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie algebras.

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6024:32245

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6024:32245

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Title:

Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited

Creators:

Kissin, Edward, Shulman, Victor S. and Turovskii, Yuri V.

Identification Number:

10.1007/s11083-020-09533-4

Official URL:

https://doi.org/10.1007/s11083-020-09533-4

Date:

2021

Subjects:

500 Natural Sciences and Mathematics > 510 Mathematics

Department:

School of Computing and Digital Media