Radicals in the class of compact right topological rings

[EN] We construct in this article three radicals in the class of compact right topological rings. We prove also that a simple left Noetherian compact right topological ring is finite.Ursul, M.; Tripe, A. (2014). Radicals in the class of compact right topological rings. Applied General Topology. 15(2):229-233. doi:http://dx.doi.org/10.4995/agt.2014.2230.SWORD229233152M. Cioban, P. Soltan and C. Gaindric, Academician Vladimi Arnautov - 70th anniversary, Bul. Acad. Stiinte Repub. Mold., 3 (61) (2009), 118-124.Halmos, P. R. (1944). Comment on the real line. Bulletin of the American Mathematical Society, 50(12), 877-879. doi:10.1090/s0002-9904-1944-08255-4Hindman, N., Pym, J., & Strauss, D. (2003). Multiplications in additive compactifications of N and Z. Topology and its Applications, 131(2), 149-176. doi:10.1016/s0166-8641(02)00298-5Maldfeld, G. (1957). Papyrus Bodmer Ii = Joh Kap. 1-14. Novum Testamentum, 1(1), 153-155. doi:10.1163/156853685x00625Leptin, H. (1955). Linear kompakte Moduln und Ringe. Mathematische Zeitschrift, 62(1), 241-267. doi:10.1007/bf01180634M. I. Ursul, Compact left topological rings, Scripta Scientarum Mathematicarum 1 (1997), 257-270.Zelinsky, D. (1954). Raising idempotents. Duke Mathematical Journal, 21(2), 315-322. doi:10.1215/s0012-7094-54-02130-

Closed normal subgroups in groups of units of compact rings

Normal subgroups of semiperfect rings were studied in [BS2]. We will study in this paper normal closed subgroups in groups of units of compact rings with identity

On derived and integrated sets of basic sets of polynomials of several complex variables

In this paper, we study some derived and integrated basic sets of polynomials of several complex variables in complete Reinhardt domains and in hyperelliptical regions under some generalized differential and integral operators. Our new results extend and improve a lot of known works

Vi alla : tidskrift för Göteborgs ungdomsledare (Årgång 5, Nr 5)

summary:In this paper, we extend some results of D. Dolzan {on finite rings} to profinite rings, a complete classification of profinite commutative rings with a monothetic group of units is given. We also prove the metrizability of commutative profinite rings with monothetic group of units and without nonzero Boolean ideals. Using a property of Mersenne numbers, we construct a family of power $2^{\aleph _0}$ commutative non-isomorphic profinite semiprimitive rings with monothetic group of units