We give elementary proofs of the results given by Ballet, Faith-Herbera, Goblot, Vámos, Warner, on linearly compact domains.
References
Faith, C., and Herbara, D.: Endomorphism rings and tensor products of linearly compact modules. Comm. Algebra, 25, 1215–1255 (1997). MR1437670 10.1080/00927879708825918Faith, C., and Herbara, D.: Endomorphism rings and tensor products of linearly compact modules. Comm. Algebra, 25, 1215–1255 (1997). MR1437670 10.1080/00927879708825918
Tabaâ, M.: Sur une question de compacité linéaire. J. Math. Kyoto. Univ., 31, 807–812 (1991). MR1127100 euclid.kjm/1250519730
Tabaâ, M.: Sur une question de compacité linéaire. J. Math. Kyoto. Univ., 31, 807–812 (1991). MR1127100 euclid.kjm/1250519730
Warner, S.: Linearly compact noetherian rings. Math. Ann., 178, 53–61 (1968). MR237583 10.1007/BF01350624Warner, S.: Linearly compact noetherian rings. Math. Ann., 178, 53–61 (1968). MR237583 10.1007/BF01350624
Warner, S.: A topological characterization of complete, discretely valued fields. Pacific J. Math., 48, 293–298 (1978). MR327726 10.2140/pjm.1973.48.293 euclid.pjm/1102945723
Warner, S.: A topological characterization of complete, discretely valued fields. Pacific J. Math., 48, 293–298 (1978). MR327726 10.2140/pjm.1973.48.293 euclid.pjm/1102945723
Zelinskiy, D.: Linearly compact modules and rings. Amer. J. Math., 75, 79–90 (1953). MR51832 10.2307/2372616Zelinskiy, D.: Linearly compact modules and rings. Amer. J. Math., 75, 79–90 (1953). MR51832 10.2307/2372616