OnC(X) Modulo its Socle

DOI10.1081/AGB-120018497zbMath1025.54012OpenAlexW2013187476MaRDI QIDQ4804842

Ali Akbar Estaji, Omid Ali Shahny Karamzadeh

Publication date: 28 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120018497

zbMATH Keywords

socle\(P\)-spaceself-injective ringextremally disconnected \(P\)-space

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ideals and multiplicative ideal theory in commutative rings (13A15) Extremally disconnected spaces, (F)-spaces, etc. (54G05) (P)-spaces (54G10)

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Cites Work

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• Essential ideals in \(C(X)\)
• Finiteness in projective ideals
• Onℵ- self-injectivity of strongly regular rings
• Intersection of essential ideals in $C(X)$
• On a question of matlis