### Relative ideals in semigroups, I (Faucett's Theorem)

A. Wallace (1962)

Colloquium Mathematicae

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A. Wallace (1962)

Colloquium Mathematicae

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Takahasi, Sin-Ei (1984)

International Journal of Mathematics and Mathematical Sciences

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Otto Steinfeld (1966)

Czechoslovak Mathematical Journal

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Robert Tilidetzke (1981)

Czechoslovak Mathematical Journal

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Eugene M. Norris (1974)

Matematický časopis

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Jun, Young Bae, Öztürk, Mehmet Ali, Roh, Eun Hwan (2010)

International Journal of Mathematics and Mathematical Sciences

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Jorma Arhippainen (1992)

Studia Mathematica

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Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.