Union conditions in Noether lattices
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- by Johnny A. Johnson PDF
- Proc. Amer. Math. Soc. 31 (1972), 391-394 Request permission
Abstract:
In this paper we introduce the strong union condition on elements and the strong union condition on primes in Noether lattices and prove some structural properties of Noether lattices which satisfy these conditions.References
- R. P. Dilworth, Abstract commutative ideal theory, Pacific J. Math. 12 (1962), 481–498. MR 143781
- E. W. Johnson and J. P. Lediaev, Representable distributive Noether lattices, Pacific J. Math. 28 (1969), 561–564. MR 255456
- E. W. Johnson and J. P. Lediaev, Structure of Noether lattices with join-principal maximal elements, Pacific J. Math. 37 (1971), 101–108. MR 307993
- E. W. Johnson and J. A. Johnson, $M$-primary elements of a local Noether lattice, Canadian J. Math. 22 (1970), 327–331. MR 256944, DOI 10.4153/CJM-1970-040-5
- J. A. Johnson, Quotients in Noetherian lattice modules, Proc. Amer. Math. Soc. 28 (1971), 71–74. MR 277460, DOI 10.1090/S0002-9939-1971-0277460-4
- J. A. Johnson, Subspaces and altitudes in Noetherian lattice modules, Fund. Math. 66 (1969/70), 375–379. MR 263798, DOI 10.4064/fm-66-3-375-379
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 391-394
- MSC: Primary 06A20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0294188-6
- MathSciNet review: 0294188