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Marc Bavant: mod signon por operacio T; ~o MAT: +ref al algebra struk…
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revo committed Oct 21, 2002
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15 changes: 8 additions & 7 deletions revo/grup.xml
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Expand Up @@ -64,8 +64,8 @@
<uzo tip="fak">MAT</uzo>
<fnt><bib>MatTerm</bib><lok>p. 14</lok></fnt>
<dif>
Tia <ref tip="super" cel="magm.0o.MAT">magmo</ref> (<em>E</em>,T),
ke &gcirc;ia <ref cel="operac.0o.MAT">operacio</ref> T estas
Tia <ref tip="super" cel="magm.0o.MAT">magmo</ref> (<em>E</em>,&#8224;),
ke &gcirc;ia <ref cel="operac.0o.MAT">operacio</ref> &#8224; estas
<ref cel="asoci.0eca.MAT">asocieca</ref>,
ke ekzistas <ref cel="neuxtr.0aelemento">ne&ubreve;tra elemento</ref>
en <em>E</em>, kaj ke por &ccirc;iu elemento en <em>E</em> ekzistas
Expand Down Expand Up @@ -95,6 +95,7 @@
<ref cel="neuxtr.0igebla.MAT">ne&ubreve;trigeblaj</ref>.
</ekz>
</dif>
<ref tip="super" cel="strukt.algebra0o">algebra strukturo;</ref>
<refgrp tip="sub">
Specifaj grupoj:
<ref cel="grup.0o_de_nmodulaj_restoklasoj"><tld/>o de n-modulaj restoklasoj</ref>,
Expand Down Expand Up @@ -211,11 +212,11 @@
<fnt><bib>MatVort</bib></fnt>
<snc mrk="grup.sub0o.MAT">
<dif>
<klr>(de <tld/>o (<em>E</em>,T))</klr>
<klr>(de <tld/>o (<em>E</em>,&#8224;))</klr>
Tia <ref tip="super" cel="grup.0o.MAT"><tld/>o</ref>
(<em>A</em>,T<sub>A</sub>), ke
(<em>A</em>,&#8224;<sub>A</sub>), ke
<em>A</em>&#8834;<em>E</em> kaj
xT<sub>A</sub>y=xTy
x&#8224;<sub>A</sub>y=x&#8224;y
por &ccirc;iuj x, y&#8712;<em>A</em>:
<ekz>
nemalplena subaro estas sub<tld/>o nur, se al &gcirc;i apartenas
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</art>
<!--
$Log$
Revision 1.27 2002/09/14 18:53:01 revo
Marc Bavant: alterna, simetria ~o: +ekz
Revision 1.26 2002/09/08 18:05:36 revo
Marc Bavant: +drv kvocienta ~o, ~o de n-modulaj restoj; -drv arhximeda ~o; ~o MAT: +refgrp; snc MAT: +trd pl
Revision 1.25 2002/07/09 17:34:29 revo
Expand All @@ -448,7 +451,5 @@ Marc Bavant: ~o MAT: mod fnt; galeza ~o: kor trd de; +drv simetria ~o, alterna ~
Revision 1.19 2002/01/29 17:32:35 revo
Paul Peeraerts: ald trd nl
Revision 1.18 2002/01/13 17:31:15 revo
Marc Bavant: +drv galeza ~o; sub~o: +fnt, +klr en dif
Revision 1.17 2002/01/07 17:31:38 revo
-->
</vortaro>
15 changes: 8 additions & 7 deletions revo/korp.xml
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Expand Up @@ -85,16 +85,17 @@
<uzo tip="fak">MAT</uzo>
<fnt><bib>EKV</bib><lok>&para;233</lok></fnt>
<dif>
Tia <ref cel="unu.0hava">unuhava</ref>
<ref tip="super" cel="ring.0o.MAT">ringo</ref>
(<em>E</em>,T,&#xd7;), ke krom la
<ref cel="neuxtr.0aelemento">ne&ubreve;tra elemento</ref> de T &ccirc;iuj
aliaj elementoj estas
Tia <ref cel="unu.0hava">unuhava</ref>
<ref tip="super" cel="ring.0o.MAT">ringo</ref>
(<em>E</em>,&#8224;,&#xd7;), ke krom la
<ref cel="neuxtr.0aelemento">ne&ubreve;tra elemento</ref> de &#8224;
&ccirc;iuj aliaj elementoj estas
<ref cel="neuxtr.0igebla.MAT">ne&ubreve;trigeblaj</ref> rilate al &#xd7;:
<ekz>
la <tld/>o de racionalaj nombroj.
</ekz>
</dif>
<ref tip="super" cel="strukt.algebra0o">algebra strukturo.</ref>
<rim>
La&ubreve; kelkaj la komuteco de operacio &#xd7; estas deviga en la
difino de <tld/>o. Aliaj preferas nomi <ctl>kampoj</ctl>
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</art>
<!--
$Log$
Revision 1.24 2002/09/14 18:53:06 revo
Marc Bavant: galeza ~o: kor ref cel al ~o
Revision 1.23 2002/09/11 17:32:58 revo
Marc Bavant: galeza super~o: kor ref cel al super~o (denove!)
Revision 1.22 2002/09/09 19:52:03 revo
Expand All @@ -390,7 +393,5 @@ Marc Bavant: ~o (geom.): mod fnt, +trd
Revision 1.16 2002/01/13 17:31:16 revo
Marc Bavant: ~o MAT: +fnt; +drv super~o, galeza ~o, radika ~o; sub~o: mod mrk, mod dif
Revision 1.15 2002/01/11 19:09:38 revo
fontindiko PrV per programo de Jerome
Revision 1.14 2001/11/04 19:18:14 revo
-->
</vortaro>

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