A complete description of Archimedean f-algebras in which every finitely generated algebra ideal (respect. regular algebra ideal) is a principal ideal is given in terms of order, algebraic and topological properties.
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Received April 13, 1999; accepted in final form Feburary 17, 2000.
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Triki, A. Stable f-algebras. Algebra univers. 44, 65–86 (2000). https://doi.org/10.1007/s000120050171
- Key words:f-algebra, l-ideal, orthomorphism.