Homological

Homological
Homological Ho`mo*log"ic*al, a. Pertaining to homology; having a structural affinity proceeding from, or base upon, that kind of relation termed homology. -- {Ho`mo*log"ic*al*ly}, adv. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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  • homological — index correlative Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

  • homological — [hō΄mō läj′i kəl, häm΄ōläj′i k l] adj. HOMOLOGOUS homologically adv …   English World dictionary

  • homological — adjective Date: circa 1847 1. homologous 2. of or relating to topological homology theory < homological algebra > • homologically adverb …   New Collegiate Dictionary

  • Homological algebra — is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract… …   Wikipedia

  • Homological dimension — refers to a number of related concepts in homological algebra: * Global dimension, the homological dimension of a ring * Projective dimension, the homological dimension of a module * Injective dimension, the dual notion * Cohomological dimension …   Wikipedia

  • Homological mirror symmetry — is a mathematical conjecture made by Maxim Kontsevich. It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory.In an address to the 1994 International Congress of… …   Wikipedia

  • Homological conjectures in commutative algebra — In mathematics, the homological conjectures have been a focus of research activity in commutative algebra since the early 1960s. They concern a number of interrelated (sometimes surprisingly so) conjectures relating various homological properties …   Wikipedia

  • homological — homologically, adv. /hoh meuh loj i keuhl, hom euh /, adj. homologous. Also, homologic. [1840 50; HOMOLOG(Y) + ICAL] * * * …   Universalium

  • homological — adjective a) Having a similar evolutionary origin; homologous. b) Having to do with homology. Syn: homologic, autological …   Wiktionary

  • homological — Word that applies to itself. See autological, Grelling s paradox …   Philosophy dictionary

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