P. N. Balister and S. Howson, Note on Nakayama???s lemma for compact $\Lambda$-modules, Asian Journal of Mathematics, vol.1, issue.2, pp.224-229, 1997.
DOI : 10.4310/AJM.1997.v1.n2.a2

A. Brumer, Pseudocompact algebras, profinite groups and class formations, Journal of Algebra, vol.4, issue.3, pp.442-470, 1966.
DOI : 10.1016/0021-8693(66)90034-2

URL : http://doi.org/10.1016/0021-8693(66)90034-2

J. Coates, P. Schneider, and R. Sujatha, MODULES OVER IWASAWA ALGEBRAS, Journal of the Institute of Mathematics of Jussieu, vol.2, issue.01, pp.73-108, 2003.
DOI : 10.1017/S1474748003000045

URL : http://arxiv.org/abs/math/0110342

A. Cuoco and P. Monsky, Class numbers inZ p d -extensions, Mathematische Annalen, vol.255, issue.2, pp.235-258, 1981.
DOI : 10.1007/BF01450674

P. Deligne and K. Ribet, Values of abelianL-functions at negative integers over totally real fields, Inventiones Mathematicae, vol.111, issue.3, pp.227-286, 1980.
DOI : 10.1007/BF01453237

J. D. Dixon, M. P. Sautoy, A. Mann, and D. Segal, Analytic pro-p groups", Cambridge studies in advanced math, 1999.

B. Ferrero and L. Washington, The Iwasawa Invariant ?? p Vanishes for Abelian Number Fields, The Annals of Mathematics, vol.109, issue.2, pp.377-395, 1979.
DOI : 10.2307/1971116

P. Gabriel, Des cat??gories ab??liennes, Bulletin de la Société mathématique de France, vol.79, pp.323-448, 1962.
DOI : 10.24033/bsmf.1583

G. Gras, Class Field Theory, 2003.
DOI : 10.1007/978-3-662-11323-3

URL : https://hal.archives-ouvertes.fr/hal-00259968

G. Gras, Th??or??mes de r??flexion, Journal de Th??orie des Nombres de Bordeaux, vol.10, issue.2, pp.399-499, 1998.
DOI : 10.5802/jtnb.234

Y. Hachimori and R. Sharifi, On the failure of pseudo-nullity of Iwasawa modules, Journal of Algebraic Geometry, vol.14, issue.3, pp.567-591, 2005.
DOI : 10.1090/S1056-3911-05-00396-6

M. Harris, p-adic representations arising from descent on abelian varieties, Compositio Math, vol.39, issue.2, pp.177-245, 1979.

M. Harris, Correction to p-adic representations arising from descent on abelian varieties, Compositio Mathematica, vol.121, issue.1, pp.105-108, 2000.
DOI : 10.1023/A:1001730616194

R. Hartshorne, Algebraic Geometry", Grad. text in adv. math, 2000.

S. Howson, Euler Characteristics as Invariants of Iwasawa Modules, Proceedings of the London Mathematical Society, vol.85, issue.3, pp.634-658, 2002.
DOI : 10.1112/S0024611502013680

K. Iwasawa, On Z l -Extensions of Algebraic Number Fields, The Annals of Mathematics, vol.98, issue.2, pp.246-326, 1973.
DOI : 10.2307/1970784

K. Iwasawa, On $\Gamma$-extensions of algebraic number fields, Bulletin of the American Mathematical Society, vol.65, issue.4, pp.183-226, 1959.
DOI : 10.1090/S0002-9904-1959-10317-7

K. Iwasawa, Lectures on p-adic L-functions, Annals of Mathematics Studies, issue.74, 1972.

U. Jannsen, Iwasawa modules up to isomorphism", Adv. Stud. in pure math, Alg. Numb. Th. -In honor of K. Iwasawa, vol.17, pp.171-207, 1989.

J. Jaulent, L'arithmétique des l-extensions" (Thèse d'état) Pub, Math. Fac. Sci. Besançon Th. Nombres, vol.86, 1985.

J. Jaulent, Th??orie $\ell$-adique globale du corps de classes, Journal de Th??orie des Nombres de Bordeaux, vol.10, issue.2, pp.355-397, 1998.
DOI : 10.5802/jtnb.233

URL : http://archive.numdam.org/article/JTNB_1998__10_2_355_0.pdf

J. Jaulent, G??n??ralisation d???un th??or??me d???Iwasawa, Journal de Th??orie des Nombres de Bordeaux, vol.17, issue.2, 2005.
DOI : 10.5802/jtnb.506

J. Jaulent and C. Maire, Sur les invariants d'Iwasawa des tours cyclotomiques, Bulletin canadien de math??matiques, vol.46, issue.2, pp.178-190, 2003.
DOI : 10.4153/CMB-2003-019-8

J. Jaulent, C. Maire, and G. Perbet, Sur les formules asymptotiques le long des Z ? -extensions, 2011.
DOI : 10.1007/s40316-013-0005-8

M. Kakde, The main conjecture of Iwasawa theory for totally real fields, Inventiones mathematicae, vol.131, issue.3, 2011.
DOI : 10.1007/s00222-012-0436-x

M. Lazard, Groupes analytiques p-adiques, Publ. math. IHES, issue.26, pp.389-603, 1965.

L. Lesieur and R. Croisot, Sur les anneaux premiers noeth??riens ?? gauche, Annales scientifiques de l'??cole normale sup??rieure, vol.76, issue.3, pp.161-183, 1959.
DOI : 10.24033/asens.1081

URL : http://archive.numdam.org/article/ASENS_1959_3_76_3_161_0.pdf

C. Maire, Sur la dimension cohomologique des pro-p-extensions des corps de nombres, Journal de Th??orie des Nombres de Bordeaux, vol.17, issue.2, pp.575-606, 2005.
DOI : 10.5802/jtnb.509

URL : https://hal.archives-ouvertes.fr/hal-00479626

C. Maire, PLONGEMENTS LOCAUX ET EXTENSIONS DE CORPS DE NOMBRES, International Journal of Number Theory, vol.07, issue.03, pp.721-738, 2011.
DOI : 10.1142/S1793042111004332

URL : https://hal.archives-ouvertes.fr/hal-00496297

B. Mazur and A. Wiles, Class fields of abelian extensions of Q, Inventiones Mathematicae, vol.88, issue.no. 2, pp.179-330, 1984.
DOI : 10.1007/BF01388599

J. Neukirch, A. Schmidt, and K. Wingberg, Cohomology of number fields, 2000.
DOI : 10.1007/978-3-540-37889-1

A. Neumann, Completed group algebras without zero divisors, Archiv der Mathematik, vol.24, issue.6, pp.496-499, 1988.
DOI : 10.1007/BF01261969

T. Nguyen-quang and . Do, Formations de classes et modules d???Iwasawa, Lecture Notes in Math., Number theory, vol.168, issue.2, pp.167-185, 1983.
DOI : 10.1007/BF01214195

G. Perbet, Sur les invariants d'Iwasawa dans les extensions de Lie padiques, Algebra and Number Theory
DOI : 10.2140/ant.2011.5.819

L. Ribes and P. Zalesskii, Profinite groups, 2000.

J. Serre and K. Iwasawa, Classes des corps cyclotomiques, Séminaire Bourbaki, 1958.
DOI : 10.1007/978-3-642-39816-2_41

J. Serre, Propri??t??s galoisiennes des points d???ordre fini des courbes elliptiques, Invent. Math, vol.15, issue.4, pp.259-331, 1972.
DOI : 10.1007/978-3-642-39816-2_94

O. Venjakob, On the structure theory of the Iwasawa algebra of a p -adic Lie group, Journal of the European Mathematical Society, vol.4, issue.3, pp.271-311, 2002.
DOI : 10.1007/s100970100038

O. Venjakob, On the Iwasawa theory of p-adic Lie extensions, Compositio Mathematica, vol.138, issue.1, pp.1-54, 2003.
DOI : 10.1023/A:1025413030203

L. Washington, Introduction to cyclotomic fields, 1997.

A. Wiles, The Iwasawa Conjecture for Totally Real Fields, The Annals of Mathematics, vol.131, issue.3, pp.493-540, 1990.
DOI : 10.2307/1971468