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• W3100142762 endingPage "495" @default.
• W3100142762 startingPage "451" @default.
• W3100142762 abstract "We study properties of a group, abelian group, ring, or monoid $B$ which (a) guarantee that every homomorphism from an infinite direct product $prod_I A_i$ of objects of the same sort onto $B$ factors through the direct product of finitely many ultraproducts of the $A_i$ (possibly after composition with the natural map $Bto B/Z(B)$ or some variant), and/or (b) guarantee that when a map does so factor (and the index set has reasonable cardinality), the ultrafilters involved must be principal. A number of open questions, and topics for further investigation, are noted." @default.
• W3100142762 created "2020-11-23" @default.
• W3100142762 creator A5047877851 @default.
• W3100142762 date "2015-04-01" @default.
• W3100142762 modified "2023-09-23" @default.
• W3100142762 title "Homomorphisms on infinite direct products of groups, rings and monoids" @default.
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• W3100142762 doi "https://doi.org/10.2140/pjm.2015.274.451" @default.
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