Principal ideals in the ideal lattice
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- by H. Subramanian PDF
- Proc. Amer. Math. Soc. 31 (1972), 445 Request permission
Abstract:
We show that there cannot be a definition of “principal elements” in the theory of multiplicative lattices so that the notion of principal elements concurs with the notion of principal ideals when interpreted in the ideal lattices of rings.References
- R. P. Dilworth, Abstract commutative ideal theory, Pacific J. Math. 12 (1962), 481–498. MR 143781
- H. Subramanian, On theory of $x$-ideals, J. Algebra 12 (1969), 134–142. MR 240031, DOI 10.1016/0021-8693(69)90021-0
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 445
- DOI: https://doi.org/10.1090/S0002-9939-1972-0284424-4
- MathSciNet review: 0284424