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SM ISO690:2012 POPA, Valeriu. On topological endomorphism rings with no more than two non-trivial closed ideals. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 99-100. ISBN 978-9975-76-247-2. |
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Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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Pag. 99-100 | ||||||
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Let L be the class of locally compact abelian groups. For X 2 L; we denote by t(X) the torsion subgroup of X and by E(X) the ring of continuous endomorphisms of X; taken with the compact-open topology. If X is topologically torsion, then S(X) stands for the set of primes p such that the corresponding topological p-primary component of X is non-zero. Given a positive integer n; we set nX = fnx j x 2 Xg and X[n] = fx 2 X j nx = 0g: |
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