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