Formal Power Series Over Commutative N-Algebras
Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 66-84

Voir la notice de l'article provenant de la source Cambridge University Press

A Banach algebra P over C with identity element is called an N-algebra if any closed ideal in P is the intersection of maximal ideals. An example is given by the algebra of the continuous C-valued functions on a compact Hausdorff space X under the supremum norm; two others are discussed in § 3.
Behrens, Ernst August. Formal Power Series Over Commutative N-Algebras. Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 66-84. doi: 10.4153/CJM-1978-006-1
@article{10_4153_CJM_1978_006_1,
     author = {Behrens, Ernst August},
     title = {Formal {Power} {Series} {Over} {Commutative} {N-Algebras}},
     journal = {Canadian journal of mathematics},
     pages = {66--84},
     year = {1978},
     volume = {30},
     number = {1},
     doi = {10.4153/CJM-1978-006-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-006-1/}
}
TY  - JOUR
AU  - Behrens, Ernst August
TI  - Formal Power Series Over Commutative N-Algebras
JO  - Canadian journal of mathematics
PY  - 1978
SP  - 66
EP  - 84
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-006-1/
DO  - 10.4153/CJM-1978-006-1
ID  - 10_4153_CJM_1978_006_1
ER  - 
%0 Journal Article
%A Behrens, Ernst August
%T Formal Power Series Over Commutative N-Algebras
%J Canadian journal of mathematics
%D 1978
%P 66-84
%V 30
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-006-1/
%R 10.4153/CJM-1978-006-1
%F 10_4153_CJM_1978_006_1

[1] 1. Behrens, E. A., The arithmetic of the quasi-uniserial semigroups without zero, Can. J. Math. 23 (1971), 507–516. Google Scholar

[2] 2. Behrens, E. A., Ringtheorie (Bibliographisches Institut, Zurich 1975). Google Scholar

[3] 3. Behrens, E. A., Topologically arithmetical rings of continuous functions, Publ. Math. Debrecen 04(1977), 107–121. Google Scholar

[4] 4. Behrens, E. A., Power series developments in lattice ordered semigroups, Semigroup Forum, to appear. Google Scholar

[5] 5. Benedetto, J. J., Spectral synthesis (B. G. Teubner, Stuttgart, 1975). Google Scholar

[6] 6. Bourbaki, N., General topology, Part 2 (Hermann, Paris, 1966). Google Scholar

[7] 7. Katznelson, Y., Sur les algèbres dont les éléments non-négatifs admettent des racines carrées, Ann. Scient. Ec. Norm. Sup. 77 (1960), 167–174. Google Scholar

[8] 8. Michael, E. A., Locally multiplicatively-convex topological algebras, Memoirs No. 11 (American Math. Soc, Providence, 1971). Google Scholar

[9] 9. Rickart, C. E., General theory of Banach algebras, (1960), Reprint (R. E. Krieger Publ. Co., Huntington, N.Y., 1974). Google Scholar

[10] 10. Rudin, W., Real and complex analysis (McGraw-Hill, New York, 1974). Google Scholar

[11] 11. Šilov, G., On regular normed rings, Trav. Inst. Math. Stekloff 21, Moscow (1947). Google Scholar

[12] 12. Willcox, A. B., Some structure theorems for a class of Banach algebras, Pacific J. Math. 6 (1956), 177–192. Google Scholar

Cité par Sources :