"Thé (sò͘-ha̍k)" pán-pún chi-kan bô-kāng--ê tē-hng
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~無編輯摘要 |
pheng-im, wiki-hoà, ho̍k-cha̍p-sò͘ -> ho̍k-sò͘ |
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Tē 1 chōa:
'''Thé''' sī sò͘-ha̍k lāi-tóe hō͘-chò [[thiu-siōng tāi-sò͘]] ê chi̍t-ki teh
Sò͘-ha̍k ê lē sī ēng <math>\mathbb K</math> lâi piáu-sī thé, che sī tùi Tek-gí ê Körper lâi-·ê, ì-sù sī 'sin-khu'.
Tē 6 chōa:
Thé sī chi̍t-ê ū [[sêng-hoat tan-ūi-ôan]] ê [[kau-ōaⁿ-khôan]] (''F'', +, ×), jî-chhiáⁿ
* sêng-hoat tan-ūi-ôan ''1'' kap ka-hoat tan-ūi-ôan ''0'' sī bô-kâng ê mi̍h-kiāⁿ,
* chún-kóng ''a''∈''F'', ''a'' m̄-sī ka-hoat-tan-ūi-ôan, lán tiāⁿ-tio̍h ōe-tàng tī ''F'' nih chhōe-tio̍h chi̍t-ê ''b'', hō͘ ''a''×''b''=1,
== Thé ê tû-hoat ==
Chiàu thé ê tēng-gī, ''F'' ê jīm-hô 1-ê seng-oân ''a'' kap m̄-sī ka-hoat tan-ūi-oân ê ''b'' ōe-tàng the̍h-lâi tû, tû liáu-āu ōe tit-tio̍h 1-ê [[siong]].
:::<math>\frac ab = </math>b<sup>-1</sup>×a
Chit-ê ''b''<sup>-1</sup> sī ''b'' ê sêng-hoat ge̍k-oân.
Tû-hoat bô [[kau-oāⁿ hoat-chek]] mā bô [[kiat-ha̍p hoat-chek]]. I tùi ka-hoat ū hiòng
::: <math>\frac {(a+b)}{c} = \frac ac + \frac bc </math>
== Lē ==
# [[
# [[Galois thé]] sī ū chīn-pōng ê thé, tī sò͘-lūn, tiān-
== Sèng-chit ==
* Chi̍t-ê thé ''F'' lāi-tóe m̄-sī 0 ê sêng-ôan chiâⁿ-sêng ê chi̍p-ha̍p ( it-poaⁿ sī kì-chò ''F''<sup>×</sup>), kap ''F'' ê sêng-hoat chiâⁿ-chò chi̍t-ê [[abelian kûn]]. ''F''<sup>×</sup> ê pō͘-hūn-kûn sī [[sûn-khôan-kûn]].
* Thé ê [[piau-sò͘]] nā m̄-sī 0 tio̍h-sī [[sò͘-sò͘]].
* [[Iú-hān-thé]] ê seng-ôan sò͘-ba̍k it-tēng sī sò͘-sò͘ ê chéng-sò͘ chhù-hong.
* Kā thé tòng-chò khôan, i kan-taⁿ u 2-ê [[lí-sióng]], {0} kap i ka-tī.
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