# On a problem of Bertram Yood

Topological Algebra and its Applications (2014)

- Volume: 2, Issue: 1, page 1-4, electronic only
- ISSN: 2299-3231

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topMart Abel, and Mati Abel. "On a problem of Bertram Yood." Topological Algebra and its Applications 2.1 (2014): 1-4, electronic only. <http://eudml.org/doc/266765>.

@article{MartAbel2014,

abstract = {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.},

author = {Mart Abel, Mati Abel},

journal = {Topological Algebra and its Applications},

keywords = {Topological ring; advertive topological ring; invertive topological ring; simplicial topological ring; Yood problem; topological algebra; topological radical of a topological algebra; closed maximal regular left ideals; advertive topological rings; simplicial topological rings; topological radicals; topologically quasi-invertible elements},

language = {eng},

number = {1},

pages = {1-4, electronic only},

title = {On a problem of Bertram Yood},

url = {http://eudml.org/doc/266765},

volume = {2},

year = {2014},

}

TY - JOUR

AU - Mart Abel

AU - Mati Abel

TI - On a problem of Bertram Yood

JO - Topological Algebra and its Applications

PY - 2014

VL - 2

IS - 1

SP - 1

EP - 4, electronic only

AB - 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.

LA - eng

KW - Topological ring; advertive topological ring; invertive topological ring; simplicial topological ring; Yood problem; topological algebra; topological radical of a topological algebra; closed maximal regular left ideals; advertive topological rings; simplicial topological rings; topological radicals; topologically quasi-invertible elements

UR - http://eudml.org/doc/266765

ER -

## References

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- [9] I. Parovichenko, On a universal bicompactum of weight @, Dokl. Akad. Nauk SSSR, 150 (1963), 36-39.
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