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Sentence analysis
19Spans
Sentence
Span Details
アルチン環
Artinian ring; Artin ringnoun
は、
topic markergrammar
任意
optional; voluntary; any; arbitraryno-adjective, noun
の
possession, attribution, nominalizer, or nominal linkergrammar
非
fault; error; wrongdoing; unfavorable situation; disadvantage; things going badly; non-; un-; an-noun, prefix
空
empty air; sky; emptiness; shunyata; air force; fruitlessness; meaninglessness; void (element); empty (set)noun, na-adjective
の
possession, attribution, nominalizer, or nominal linkergrammar
イデアル
ideal; perfect model; ideal (mathematics)noun, na-adjective
の
possession, attribution, nominalizer, or nominal linkergrammar
集合
meeting up; gathering; assembly; setnoun, suru verb
が
subject markergrammar
極小
minimum; minuscule; extremely small; local minimumna-adjective, noun
元
unknown (in an equation); element (of a set); yuan (Chinese currency); Taiwan dollar; Yuan dynastynoun
を
object markergrammar
持つ
hold; carry; take along; have; own; possess; maintain; keep; keep up; last; hold out; be durable; be in charge of; take charge of; handle; arrange; have it; have that special something; be luckygodan verb
環
ring; band; rim; ring (mathematics, chemistry); circum-; ring-shapednoun, noun prefix
として
as; in the role ofgrammar
定義
definitionnoun, suru verb
される。
passive, potential, or respect auxiliarygrammar