Divisorial elements in lattice-ordered monoids

Scientific publication - Journal Article uoadl:3097303 15 Read counter

Unit:
NKUA research material
Title:
Divisorial elements in lattice-ordered monoids
Languages of Item:
English
Abstract:
Let S be a commutative lattice-ordered monoid that is conditionally
complete and admits residuals. Imitating the definition of divisorial
ideals in commutative ring theory, we study divisorial elements in S.
The archimedean divisorial elements behave especially nicely. We
establish a Galois correspondence of the divisorial elements in a finite
interval. Assuming the maximum condition on integral divisorial
elements, it is shown that their Krull associated primes are divisorial
and the integral divisorial elements admit irredundant representations
as intersections of finitely many p-components that are p-primal
divisorial elements.
Publication year:
2005
Authors:
Fuchs, L
Kehayopulu, N
Reis, R
Tsingelis, M
Journal:
Semigroup Forum
Publisher:
Springer-Verlag
Volume:
71
Number:
2
Pages:
188-200
Official URL (Publisher):
DOI:
10.1007/s00233-004-0163-8
The digital material of the item is not available.