Almost $\pi$-lattices
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 119-130
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this paper we establish some conditions for an almost $\pi $-domain to be a $\pi $-domain. Next $\pi $-lattices satisfying the union condition on primes are characterized. Using these results, some new characterizations are given for $\pi $-rings.
Classification :
06F05, 06F10, 13A15
Keywords: $\pi $-domain; almost $\pi $-domain; $\pi $-ring; $d$-prime element
Keywords: $\pi $-domain; almost $\pi $-domain; $\pi $-ring; $d$-prime element
@article{CMJ_2004__54_1_a10,
author = {Jayaram, C.},
title = {Almost $\pi$-lattices},
journal = {Czechoslovak Mathematical Journal},
pages = {119--130},
publisher = {mathdoc},
volume = {54},
number = {1},
year = {2004},
mrnumber = {2040225},
zbl = {1049.06012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_1_a10/}
}
Jayaram, C. Almost $\pi$-lattices. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 119-130. http://geodesic.mathdoc.fr/item/CMJ_2004__54_1_a10/