inverse system

noun

A set of algebraic structures (which are part of a concrete category; e.g., groups) and a set of morphisms between them (e.g., group homomorphisms) which all together form a small category which is the image of a contravariant functor whose domain is a directed poset.

Opposite
direct system
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Meanings

nouninverse system (plural inverse systems)

plural inverse systems

  1. algebraA set of algebraic structures (which are part of a concrete category; e.g., groups) and a set of morphisms between them (e.g., group homomorphisms) which all together form a small category which is the image of a contravariant functor whose domain is a directed poset.

Synonyms & antonyms

Opposite
direct system
Cite this entry
APA

inverse system. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/inverse%20system

MLA

“inverse system.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/inverse%20system. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “inverse system,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/inverse%20system.

Source: inverse system on Wiktionary, CC BY-SA 4.0.