Hopfian and co-Hopfian objects

DOI10.5565/PUBLMAT_36192_21zbMath0792.16009OpenAlexW2050738152MaRDI QIDQ1199359

K. Varadarajan

Publication date: 16 January 1993

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41149

zbMATH Keywords

compact manifoldBoolean spacecompact Hausdorff spaceBoolean ringHopficitycategory Topco-Hopfian as \(A\)-moduleco-Hopficity

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Automorphisms and endomorphisms (16W20) Algebraic properties of function spaces in general topology (54C40) Ring-theoretic properties of Boolean algebras (06E20) Topological representations of algebraic systems (54H10) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

Related Items (34)

CO-HOPFIAN ABELIAN GROUPS ⋮ Weak Hopfcity and singular modules ⋮ Skew generalized power series Hopfian modules. ⋮ Hopfian \(\ell\)-groups, MV-algebras and AF \({\mathrm{C}^{*}}\)-algebras ⋮ Homomorphic images of pro-nilpotent algebras ⋮ Unnamed Item ⋮ Generalized Fitting modules and rings. ⋮ When mutually epimorphic modules are isomorphic ⋮ Unnamed Item ⋮ On (weakly) co-Hopfian automorphism-invariant modules ⋮ Polynomial rings over commutative reduced Hopfian local rings ⋮ Unnamed Item ⋮ Rings with all modules residually finite ⋮ Hopficity of Modules and Rings (Survey) ⋮ Cancellation of topological groups ⋮ Solitary subgroups of abelian groups ⋮ Hopficity and duo rings ⋮ RING ENDOMORPHISMS WITH LARGE IMAGES ⋮ Duality for Weakly Co-Hopfian and Generalized Hopfian Modules ⋮ Unnamed Item ⋮ Co-Hopfian modules of generalized inverse polynomials ⋮ Modules whose injective endomorphisms are essential ⋮ Modules in which every surjective endomorphism has a \(\mu\)-small kernel ⋮ Study of Hopficity in Certain Classes of Rings ⋮ Unnamed Item ⋮ Notes on Generalized Hopfian and Weakly Co-Hopfian Modules ⋮ A note on almost maximal chain rings ⋮ On isonoetherian and isoartinian modules ⋮ Unnamed Item ⋮ A note on hopfian modules^* ⋮ On the Hopficity of the polynomial rings ⋮ Hopfian and co-Hopfian 𝐺-CW-complexes ⋮ Generalized Hopfian modules ⋮ Hopficity and co-hopficity for morita contexts

This page was built for publication: Hopfian and co-Hopfian objects