M-Primary Elements of a Local Noether Lattice
Canadian journal of mathematics, Tome 22 (1970) no. 2, pp. 327-331
Voir la notice de l'article provenant de la source Cambridge University Press
In this paper, we consider the extent to which a local Noether lattice (L, M) is characterized by the sub-multiplicative lattice, denoted δL, of M-primary elements. (Here we use the notation (L, M) to indicate that M is the maximal element of L.) In particular, we call LM-complete if, given any decreasing sequence {Ai } of elements and any n ≧ 1, it follows that A i ≦ A V Mn for large i, where A = ΛAi And we show that, given two Mi -complete local Noether lattices (L 1, M 1) and (L 2, M 2), with δL 1 ≅ δL 2, it follows that L 1 ≅ L 2. Further, we show that any local Noether lattice (L, M) is a sublattice of a local Noether lattice (L *, M) which is M-complete and such that δL = δL *.
Johnson, E. W.; Johnson, J. A. M-Primary Elements of a Local Noether Lattice. Canadian journal of mathematics, Tome 22 (1970) no. 2, pp. 327-331. doi: 10.4153/CJM-1970-040-5
@article{10_4153_CJM_1970_040_5,
author = {Johnson, E. W. and Johnson, J. A.},
title = {M-Primary {Elements} of a {Local} {Noether} {Lattice}},
journal = {Canadian journal of mathematics},
pages = {327--331},
year = {1970},
volume = {22},
number = {2},
doi = {10.4153/CJM-1970-040-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1970-040-5/}
}
TY - JOUR AU - Johnson, E. W. AU - Johnson, J. A. TI - M-Primary Elements of a Local Noether Lattice JO - Canadian journal of mathematics PY - 1970 SP - 327 EP - 331 VL - 22 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1970-040-5/ DO - 10.4153/CJM-1970-040-5 ID - 10_4153_CJM_1970_040_5 ER -
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