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Furigana Show|Add to ▼ Source Totoeba Project
An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.
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Vocabulary list

karada
noun
  1. body (からだ is a gikun reading of 身体)
  2. torso; trunk
  3. build; physique; frame; figure
  4. health; constitution
  5. corpse; dead body
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ue
noun, no adjective, adverb, noun, used as a suffix
  1. above; up; over; elder (e.g. daughter)
noun
  1. top; summit; head (e.g. of a staircase)
  2. surface
noun, no adjective, adverb
  1. before; previous
noun, no adjective
  1. superiority; one's superior; one's elder
noun, adverb
  1. on top of that; besides; what's more; not only ... but (following a verb or adjective)
  2. upon (further inspection, etc.); based on (and occurring after) (following a verb or noun)
  3. matters concerning ...; as concerns ...
  4. since (i.e. "for that reason") (as ～上は)
noun, used as a suffix
  1. honorable; venerable (suffix indicating higher social standing than the speaker)
  2. place of one's superior (e.g. the throne)
  3. emperor; sovereign; shogun; daimyo
  4. noblewoman (esp. the wife of a nobleman)
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no
particle
  1. indicates possessive (occasionally ん, orig. written 乃 or 之)
  2. nominalizes verbs and adjectives
  3. substitutes for "ga" in subordinate phrases
  4. (at sentence-end, falling tone) indicates a confident conclusion (often ん)
  5. (at sentence-end) indicates emotional emphasis
  6. (at sentence-end, rising tone) indicates question
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daisuu
noun, no adjective
  1. algebra
noun
  1. number of generations (e.g. in imperial succession)
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gun
noun, noun, used as a suffix
  1. group; bunch; crowd; throng; swarm; band
  2. group
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toha
expression, particle
  1. indicates word or phrase being defined
  2. used for quoting (thoughts, speech, etc.) (indicates contrast or adds emphasis to a negative statement)
  3. with (more emphatic than と)
  4. (not) as much as; (not) so much as (with neg. verb)
  5. the fact that; to think that; such a thing as (indicates surprise, disbelief, anger, etc.; sometimes at sentence end)
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to
particle, conjunction
  1. if; when
  2. and
particle
  1. with
  2. used for quoting (thoughts, speech, etc.)
noun
  1. promoted pawn
particle
  1. indicates a question (at sentence end)
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ha
particle
  1. topic marker particle (pronounced わ in modern Japanese)
  2. indicates contrast with another option (stated or unstated)
  3. adds emphasis
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ue
noun, no adjective, adverb, noun, used as a suffix
  1. above; up; over; elder (e.g. daughter)
noun
  1. top; summit; head (e.g. of a staircase)
  2. surface
noun, no adjective, adverb
  1. before; previous
noun, no adjective
  1. superiority; one's superior; one's elder
noun, adverb
  1. on top of that; besides; what's more; not only ... but (following a verb or adjective)
  2. upon (further inspection, etc.); based on (and occurring after) (following a verb or noun)
  3. matters concerning ...; as concerns ...
  4. since (i.e. "for that reason") (as ～上は)
noun, used as a suffix
  1. honorable; venerable (suffix indicating higher social standing than the speaker)
  2. place of one's superior (e.g. the throne)
  3. emperor; sovereign; shogun; daimyo
  4. noblewoman (esp. the wife of a nobleman)
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no
particle
  1. indicates possessive (occasionally ん, orig. written 乃 or 之)
  2. nominalizes verbs and adjectives
  3. substitutes for "ga" in subordinate phrases
  4. (at sentence-end, falling tone) indicates a confident conclusion (often ん)
  5. (at sentence-end) indicates emotional emphasis
  6. (at sentence-end, rising tone) indicates question
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ka
noun, noun, used as a suffix
  1. acceptable; satisfactory; allowed; permitted
noun
  1. approval; being in favour; (a) vote in favour; aye
  2. Pass (grade); Fair; C; D (on a 優, 良, 可 scale)
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moto
noun
  1. origin; source (usu. 元)
  2. base; basis; foundation; root (esp. 基)
  3. cause (also 因, 原)
  4. ingredient; material (esp. 素)
  5. (somebody's) side; (somebody's) location
  6. original cost (or capital, principal, etc.)
  7. (plant) root; (tree) trunk
  8. first section of a waka
counter
  1. counter for blades of grass, tree trunks, etc., and for falcons (in falconry)
noun
  1. handle (chopsticks, brush, etc.); grip
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moto
no adjective, noun, used as a prefix
  1. former; ex-; past; one-time
noun, no adjective
  1. earlier times; the past; previous state
noun, adverb
  1. formerly; previously; originally; before
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tamaki
noun
  1. bracelet (made of stringed jewels or bells and worn at the elbow)
  2. bracer (for the elbow of an archer)
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no
particle
  1. indicates possessive (occasionally ん, orig. written 乃 or 之)
  2. nominalizes verbs and adjectives
  3. substitutes for "ga" in subordinate phrases
  4. (at sentence-end, falling tone) indicates a confident conclusion (often ん)
  5. (at sentence-end) indicates emotional emphasis
  6. (at sentence-end, rising tone) indicates question
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ken
suffix
  1. sphere; circle; range; area; zone; bloc
noun
  1. category
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kara
particle
  1. from (e.g. time, place, numerical quantity); since
  2. from (originator); by
  3. because; since (follows verbs, adjectives)
  4. out of (constituent, part)
  5. through (e.g. window, vestibule)
  6. after; since (following the te-form of a verb)
  7. expresses sympathy or warning
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gun
noun, noun, used as a suffix
  1. group; bunch; crowd; throng; swarm; band
  2. group
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no
particle
  1. indicates possessive (occasionally ん, orig. written 乃 or 之)
  2. nominalizes verbs and adjectives
  3. substitutes for "ga" in subordinate phrases
  4. (at sentence-end, falling tone) indicates a confident conclusion (often ん)
  5. (at sentence-end) indicates emotional emphasis
  6. (at sentence-end, rising tone) indicates question
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ken
suffix
  1. sphere; circle; range; area; zone; bloc
noun
  1. category
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he
particle
  1. to; towards; for (indicates direction or goal; pronounced え in modern Japanese)
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no
particle
  1. indicates possessive (occasionally ん, orig. written 乃 or 之)
  2. nominalizes verbs and adjectives
  3. substitutes for "ga" in subordinate phrases
  4. (at sentence-end, falling tone) indicates a confident conclusion (often ん)
  5. (at sentence-end) indicates emotional emphasis
  6. (at sentence-end, rising tone) indicates question
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hyougen
noun, suru verb
  1. expression; presentation
  2. representation; notation
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kanou
na adjective, noun
  1. possible; potential; practicable; feasible
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na
particle
  1. don't (prohibitive; used with dictionary form verb)
  2. do (imperative (from なさい); used with -masu stem of verb)
interjection
  1. hey; listen; you
particle
  1. now, ...; well, ...; I tell you!; you know (when seeking confirmation, for emphasis, etc.; used at sentence end)
  2. wow; ooh (used to express admiration, emotionality, etc.; used at sentence end)
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domo
suffix
  1. first-person plural (or singular)
  2. second or third person plural (implies speaker is of higher status than those referred to)
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tomo
noun, noun, used as a prefix
  1. together with
  2. same
suffix
  1. both; all; neither; none
  2. including ...
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goto
suffix
  1. including...; with ...; inclusive of; ...and all
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muta
mita
noun
  1. together with ... (after noun+が, pronoun+の, etc.)
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hen
na adjective, noun
  1. strange; odd; peculiar; weird; curious; queer; eccentric; funny; suspicious; fishy
  2. unexpected
  3. change
  4. incident; disturbance; disaster; accident
noun, used as a prefix
  1. flat
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kanshu
noun
  1. functor
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seki
noun, noun, used as a suffix
  1. barrier; gate
noun
  1. seki (in go); mutual life (usu. セキ)
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te
noun
  1. hand; arm (occ. pronounced た when a prefix)
  2. forepaw; foreleg
  3. handle
  4. hand; worker; help
  5. trouble; care; effort
  6. means; way; trick; move; technique; workmanship
  7. hand; handwriting
  8. kind; type; sort
  9. one's hands; one's possession
  10. ability to cope
  11. hand (of cards)
  12. direction
noun, noun, used as a suffix, counter
  1. move (in go, shogi, etc.)
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de
particle
  1. at; in (indicates location of action; にて is the formal literary form)
  2. at; when (indicates time of action)
  3. by; with (indicates means of action)
conjunction
  1. and then; so
auxiliary
  1. and; then (indicates continuing action; alternative form of 〜て used for some verb types)
particle
  1. let me tell you; don't you know (at sentence-end; indicates certainty, emphasis, etc.)
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yuugenseisei
noun or verb acting prenominally
  1. finitely generated; of finite type
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yuugen
no adjective, na adjective, noun
  1. finite; limited
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seisei
noun, suru verb
  1. creation; generation; formation; derivation
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na
particle
  1. don't (prohibitive; used with dictionary form verb)
  2. do (imperative (from なさい); used with -masu stem of verb)
interjection
  1. hey; listen; you
particle
  1. now, ...; well, ...; I tell you!; you know (when seeking confirmation, for emphasis, etc.; used at sentence end)
  2. wow; ooh (used to express admiration, emotionality, etc.; used at sentence end)
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tagen
noun, no adjective
  1. pluralism; diversity
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tamaki
noun
  1. bracelet (made of stringed jewels or bells and worn at the elbow)
  2. bracer (for the elbow of an archer)
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niyotte
expression
  1. according to; by (means of); due to; because of
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niyoru

te-form

niyotte
expression, godan verb
  1. by means of; due to; because of; according to
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hyougen
noun, suru verb
  1. expression; presentation
  2. representation; notation
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suru

Passive Plain Present Indicative Form

sareru
suru verb (irregular)
  1. to do; to carry out; to perform
  2. to cause to become; to make (into); to turn (into)
  3. to serve as; to act as; to work as
  4. to wear (clothes, a facial expression, etc.)
  5. to judge as being; to view as being; to think of as; to treat as; to use as (as 〜にする,〜とする)
  6. to decide on; to choose (as 〜にする)
suru verb (irregular), intransitive verb
  1. to be sensed (of a smell, noise, etc.) (as 〜がする)
  2. to be (in a state, condition, etc.)
  3. to be worth; to cost
  4. to pass (of time); to elapse
suru verb (irregular), transitive verb
  1. to place, or raise, person A to a post or status B (as AをBにする)
  2. to transform A to B; to make A into B; to exchange A for B (as AをBにする)
  3. to make use of A for B; to view A as B; to handle A as if it were B (as AをBにする)
  4. to feel A about B (as AをBにする)
suffix, suru verb (irregular)
  1. verbalizing suffix (applies to nouns noted in this dictionary with the part of speech "vs")
auxiliary verb, suru verb (irregular)
  1. creates a humble verb (after a noun prefixed with "o" or "go")
  2. to be just about to; to be just starting to; to try to; to attempt to (as 〜うとする,〜ようとする)
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