On a problem of Bertram Yood

• Autorzy: Mart Abel , Mati Abel
• Języki publikacji: EN

Abstrakty

EN

In 1964, Bertram Yood posed the following problem: whether the intersection of all closed maximal regular left ideals of a topological ring coincides with the intersection of all closed maximal regular right ideals of this ring. It is proved that these two intersections coincide for advertive and simplicial topological rings and, using this result, it is shown that the topological left radical and the topological right radical for every advertive and simplicial topological algebra coincide.

Słowa kluczowe

EN

Topological ring; advertive topological ring; invertive topological ring; simplicial topological ring; Yood problem; topological algebra; topological radical of a topological algebra

• Wydawca: De Gruyter Open
• Czasopismo: Topological Algebra and its Applications
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

wydano

2014-01-01

online

2014-03-21

Twórcy

autor

Mart Abel

• Institute of Mathematics, University of Tartu, 2 J. Liivi Str., room 615, 50409 Tartu, Estonia
• Institute of Mathematics and Natural Sciences, Tallinn Universuty, Narva mnt. 29, room A-416, 10120 Tallinn, Estonia

autor

Mati Abel

• Institute of Mathematics, University of Tartu, 2 J. Liivi Str., room 614, 50409 Tartu, Estonia

Bibliografia

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Identyfikatory

DOI

10.2478/taa-2014-0001