Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15665612014PRIME, MAXIMAL AND PRIMITIVE IDEALS IN SOME SUBRINGS OF POLYNOMIAL RINGS6574ENMiguelFerreroEdilson SoaresMirandaIn this paper we describe prime, maximal and primitive
ideals in some graded subrings of polynomial rings. As applications the
corresponding radicals are determined.No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15664612004Principal Ideals in Ore ExtensionsENWagnerCortesMiguelFerrero<p>In this paper we prove that if R is a prime ring and I is an R-disjoint ideal of an Ore extension R[χ, δ,d], then I is closed and principal generated by a normal polynomial of minimal degree if and only if I contains a Sharma polynomial of minimal degree.</p>
No potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662211980On automorphisms of skew polynomial rings of derivation typeENMiguelFerreroKazuoKishimotoNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662321981A classification of abelian extensions of ringsENMiguelFerreroKazuoKishimotoNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15661611973A note on Galois theoryENMiguelFerreroNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663311991Locally integral derivations and endomorphismsENMiguelFerreroAndrzejNowickiNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662521983On connectedness of p-Galois extensions of ringsENMiguelFerreroKazuoKishimotoNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663211990Prime Ideals of Skew Polynomial Rings and Skew Laurent Polynomial RingsENEduardoCisnerosMiguelFerreroMaria InésConzálezNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15662911987Radicals of skew polynomial rings and skew Laurent polynomial ringsENMiguelFerreroNo potential conflict of interest relevant to this article was reported.Department of Mathematics, Faculty of Science, Okayama UniversityActa Medica Okayama0030-15663611994On R-Automorphisms of R[X]ENMiguelFerreroAntonioPaquesNo potential conflict of interest relevant to this article was reported.