Definition of Category | Word Scrabble Finder

NOUN

Definition - A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
Example - I wouldn't put this book in the same category as the author's first novel.
Definition - A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
Example - Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.

Words in your word

category ₁₄

gyrate ₁₀ coater ₈ recoat ₈ garote ₇ orgeat ₇ toerag ₇

cagey ₁₁ coyer ₁₀ oracy ₁₀ gayer ₉ goaty ₉ yager ₉ cager ₈ cargo ₈ grace ₈ teary ₈ toyer ₈ actor ₇ caret ₇ carte ₇ cater ₇ crate ₇ ocrea ₇ react ₇ recta ₇ recto ₇ taroc ₇ trace ₇ argot ₆ ergot ₆ gater ₆ gator ₆ grate ₆ great ₆ groat ₆ retag ₆ targe ₆ terga ₆ togae ₆ oater ₅ orate ₅

cagy ₁₀ cory ₉ racy ₉ gory ₈ gray ₈ grey ₈ gyre ₈ gyro ₈ orgy ₈ yage ₈ yoga ₈ aery ₇ arty ₇ cage ₇ crag ₇ eyra ₇ oaty ₇ oyer ₇ ryot ₇ tory ₇ tray ₇ trey ₇ troy ₇ tyer ₇ tyre ₇ tyro ₇ yare ₇ year ₇ yore ₇ acre ₆ acro ₆ arco ₆ care ₆ cart ₆ cate ₆ cero ₆ cert ₆ coat ₆ core ₆ cote ₆ orca ₆ race ₆ tace ₆ taco ₆ torc ₆ ager ₅ agro ₅ areg ₅ ergo ₅ gate ₅

cay ₈ coy ₈ cry ₈ gay ₇ gey ₇ goy ₇ yag ₇ aye ₆ cog ₆ ray ₆ rya ₆ rye ₆ toy ₆ try ₆ tye ₆ yar ₆ yea ₆ yer ₆ yet ₆ ace ₅ act ₅ arc ₅ car ₅ cat ₅ cor ₅ cot ₅ eco ₅ oca ₅ orc ₅ rec ₅ roc ₅ tec ₅ age ₄ ago ₄ ego ₄ erg ₄ gae ₄ gar ₄ gat ₄ get ₄ goa ₄ gor ₄ got ₄ org ₄ rag ₄ reg ₄ tag ₄ teg ₄ tog ₄ are ₃

ay ₅ oy ₅ ya ₅ ye ₅ yo ₅ ag ₃ go ₃ ae ₂ ar ₂ at ₂ er ₂ et ₂ oe ₂ or ₂ re ₂ ta ₂ te ₂ to ₂

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