dc.creatorMicali A.
dc.creatorPaques A.
dc.date1980
dc.date2015-06-30T13:38:28Z
dc.date2015-11-26T14:35:50Z
dc.date2015-06-30T13:38:28Z
dc.date2015-11-26T14:35:50Z
dc.date.accessioned2018-03-28T21:39:18Z
dc.date.available2018-03-28T21:39:18Z
dc.identifier
dc.identifierJournal Of Algebra. , v. 63, n. 1, p. 268 - 278, 1980.
dc.identifier218693
dc.identifier10.1016/0021-8693(80)90036-8
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0039502414&partnerID=40&md5=c3f52620c00d1f3ddd5fd54a635176b1
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/97847
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/97847
dc.identifier2-s2.0-0039502414
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1248493
dc.descriptionIn this paper we give an explicit and elementary construction of the group of all cyclic extensions of prime degree of a given ring. We give explicit calculations in some particular cases. In the second part, under certains hypotheses concerning the base ring, we give a cohomological interpretation of this group. Next, the crucial question of the existence of primitive element for the algebra extensions of the vase ring is treated and finally, we examine certains cases where primitive elements always exists. © 1980.
dc.description63
dc.description1
dc.description268
dc.description278
dc.descriptionAuslander, Goldman, The Brauer group of a commutative ring (1960) Transactions of the American Mathematical Society, 97, pp. 367-409
dc.descriptionAzumaya, On maximally central algebras (1951) Nagoya Math. J., 2, pp. 119-150
dc.descriptionBourbaki, (1964) Algèbre Commutative, , Hermann, Paris, Chap. 5
dc.descriptionChase, Harrison, Rosenberg, Galois theory and cohomology of commutative rings (1965) Mem. Amer. Math. Soc., 52, pp. 15-33
dc.descriptionChilds, The group of unramified Kummer extensions of prime degree (1977) Proceedings of the London Mathematical Society, 35, pp. 407-422
dc.descriptionHarrison, Abelian extensions of commutative rings (1965) Mem. Amer. Math. Soc., 52, pp. 1-14
dc.descriptionKnus, Ojanguren, Théorie de la descente et algèbres d'Azumaya (1974) Lecture Notes in Mathematics No. 389, , Springer-Verlag, Berlin/New York
dc.descriptionMicali, Villamayor, Sur les algèbres de Clifford, II (1970) J. Reine Angew. Math., 242, pp. 61-90
dc.descriptionMicali, Revoy, Modules quadratiques (1977) Cahiers Mathématiques n∘ 10, , Université de Montpellier II, Montpellier
dc.descriptionNakajima, On a group of cyclic extensions over commutative rings (1972) Math. J. Okayama Univ., 16, pp. 163-172
dc.descriptionRaynaud, Anneaux locaux henséliens (1960) Lecture Notes in Mathematics No. 169, , Springer-Verlag, Berlin/New York
dc.descriptionWang, Separable Algebras and Free Cubic Extensions Over Commutative Rings (1975) Ph. D. thesis, , Cornell University
dc.descriptionWeiss, (1963) Algebraic Number Theory, , McGraw-Hill, New York
dc.languagefr
dc.publisher
dc.relationJournal of Algebra
dc.rightsfechado
dc.sourceScopus
dc.titleSur Le Groupe Des Extensions Cycliques
dc.typeArtículos de revistas


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