Intersection of essential ideals in $C(X)$
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Publication:4339198
DOI10.1090/S0002-9939-97-04086-0zbMath0867.54023MaRDI QIDQ4339198
Publication date: 5 June 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
first categorynowhere dense setsocleessential idealsalmost locally compact spacepseudo-discrete space
Related Items (30)
INTERSECTION OF ESSENTIAL IDEALS IN THE RING OF REAL-VALUED CONTINUOUS FUNCTIONS ON A FRAME ⋮ Essential ideals represented by mod-annihilators of modules ⋮ On the locally functionally countable subalgebra of C(X) on locally functionally countable subalgebra of C(X) ⋮ OnC(X) Modulo its Socle ⋮ Unnamed Item ⋮ Depth of ideals of \(C(X)\) ⋮ The super socle of the ring of continuous functions ⋮ On the socle of a commutative ring and Zariski topology ⋮ When the family of functions vanishing at infinity is an ideal of \(C(X)\). ⋮ Unnamed Item ⋮ Intersections of essential (resp. free) maximal ideals of \(C(X)\) ⋮ \(C(X)\) versus its functionally countable subalgebra ⋮ When is \(C_F(X) = M^{\beta X \setminus I(X)}\)? ⋮ A generalization of the m-topology on C(X) finer than the m-topology ⋮ Relativez-Ideals in Commutative Rings ⋮ On regular ideals in reduced rings ⋮ Cardinal invariants of the topology of uniform convergence on compact sets on the space of minimal USCO maps ⋮ GLOBALIZATION OF PARTIAL ACTIONS ON SEMIPRIME RINGS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Connectedness and compactness in \(C(X)\) with the \(m\)-topology and generalized \(m\)-topology ⋮ On ideals consisting entirely of zero divisors ⋮ On subrings of the form \(I+\mathbb{R}\) of \(C(X)\) ⋮ Computation of depth in \(C(X)\) ⋮ Essential Ideals in Rings of Measurable Functions ⋮ Relative \(z\)-ideals in \(C(X)\) ⋮ On fraction-dense algebraic frames ⋮ Some new results on functions inC(X) having their support on ideals of closed sets ⋮ Unnamed Item ⋮ Algebraic frames in which dense elements are above dense compact elements
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