Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
381 2 |
Ultima descărcare din IBN: 2024-02-15 08:25 |
Căutarea după subiecte similare conform CZU |
512.546+519.47 (1) |
Algebra (413) |
SM ISO690:2012 ARNAUTOV, Vladimir, ERMAKOVA, G.. On non-discrete topologization of some countable skew fields. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2021, nr. 1-2(95-96), pp. 84-92. ISSN 1024-7696. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1-2(95-96) / 2021 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
CZU: 512.546+519.47 | ||||||
MSC 2010: 22A05. | ||||||
Pag. 84-92 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
If for any finite subset M of a countable skew field R there exists an infinite subset S R such that r · m = m · r for any r 2 S and for any m 2 M, then the skew field R admits: – A non-discrete Hausdorff skew field topology 0. – Continuum of non-discrete Hausdorff skew field topologies which are stronger than the topology 0 and such that sup{1, 2} is the discrete topology for any different topologies 1 and 2; – Continuum of non-discrete Hausdorff skew field topologies which are stronger than 0 and such that any two of these topologies are comparable; – Two to the power of continuum Hausdorff skew field topologies stronger than 0, and each of them is a coatom in the lattice of all skew field topologies of the skew fields. |
||||||
Cuvinte-cheie Countable skew fields, center of skew field, topological skew fields, Hausdorff topology, basis of the filter of neighborhoods, number of topologies on countable skew fields, lattice of topologies on skew fields, right Ore condition, ring of right quotients, ring of polynomials in the variable x |
||||||
|