User:CJKG: Difference between revisions

Latest revision as of 12:21, 10 April 2016

My name is Claus, born in 1963 at Eschweiler on the River Inde and now living with my wife in Köln. Pronounce my first name like "clouds" without "d"!

I am a teacher for mathematics, physics and business informatics at the NBBK in Haus Rheinfrieden, a commercial college for physically disabled persons. My secondary school was the Städtische Gymnasium Eschweiler, a municipal gymnasium, and I studied first mathematics and then teaching at secondary schools at RWTH Aachen University and the University of Paderborn. All these places are situated in North Rhine-Westphalia in Germany in the European Union. My mother tongue is Eischwiele Platt, a Ripuarian dialect. --CJKG (talk) 08:47, 2 March 2014 (UTC)

Contribs

subquasigroup
Wall theorem (= Subquasigroup of size more than half is whole quasigroup)
Ward quasigroup
Unipotent magma
Zeropotent magma
Category:Quasigroup properties
Middle identity
Semisymmetric magma

Tools

Active Users

@@ Line 1: / Line 1: @@
-My name is Claus, born in 1963 at Eschweiler and now living with my wife in Köln, Germany, EU. I am a teacher for mathematics and physics at the NBBK, a commercial college for physically disabled persons. --[[User:CJKG|CJKG]] ([[User talk:CJKG|talk]]) 08:47, 2 March 2014 (UTC)
+My name is Claus, born in 1963 at [http://en.wikipedia.org/wiki/Eschweiler Eschweiler] on the [http://de.wikipedia.org/wiki/Inde_(Fluss) River Inde] and now living with my wife in [http://en.wikipedia.org/wiki/Cologne Köln]. Pronounce [http://en.wikipedia.org/wiki/Claus my first name] like "clouds" without "d"!
-* Pronounce my first name like "clouds" without "d": http://en.wikipedia.org/wiki/Claus
+I am a teacher for mathematics, physics and [http://en.wikipedia.org/wiki/Business_informatics business informatics] at the [http://de.wikipedia.org/wiki/Haus_Rheinfrieden NBBK in Haus Rheinfrieden], a commercial college for physically disabled persons. My secondary school was the [http://de.wikipedia.org/wiki/St%C3%A4dtisches_Gymnasium_Eschweiler Städtische Gymnasium Eschweiler], a municipal gymnasium, and I studied first mathematics and then [http://en.wikipedia.org/wiki/Teacher#Germany teaching at secondary schools] at [http://en.wikipedia.org/wiki/RWTH_Aachen_University RWTH Aachen University] and the [http://en.wikipedia.org/wiki/University_of_Paderborn University of Paderborn]. All these places are situated in [http://en.wikipedia.org/wiki/North_Rhine-Westphalia North Rhine-Westphalia] in Germany in the European Union. My mother tongue is [https://de.wikipedia.org/wiki/Eischwiele_Platt Eischwiele Platt], a [https://en.wikipedia.org/wiki/Ripuarian_language Ripuarian dialect]. --[[User:CJKG|CJKG]] ([[User talk:CJKG|talk]]) 08:47, 2 March 2014 (UTC)
-* My birthplace: http://en.wikipedia.org/wiki/Eschweiler
-* My place of residence: "Köln" is the German name of the city of Cologne: http://en.wikipedia.org/wiki/Cologne
-* My workplace: http://de.wikipedia.org/wiki/Haus_Rheinfrieden
 == Contribs ==
@@ Line 13: / Line 10: @@
 #[[Zeropotent magma]]
 #[[:Category:Quasigroup properties]]
+#[[Middle identity]]
+#[[Semisymmetric magma]]
 == Tools ==
-* [https://www.artofproblemsolving.com/Wiki/index.php/LaTeX:Symbols < math > < /math >]
 * [http://groupprops.subwiki.org/wiki/Special:ActiveUsers Active Users]
-== Inquiry: A missing property ==
-(I)  A [[loop]] is a quasigroup with a neutral element <math>e</math>.
-(II) A magma is termed [[unipotent magma|unipotent]] iff there is an element <math>e</math> such that <math>x * x = e</math> for all elements <math>x</math>.
-Does anybody know how such an element <math>e</math> in (II) is termed? I found [[neutral element|''middle neutral element'']] and ''middle identity'', but I don't know if that term is standardized and generally and uniformly used. Note that such an element <math>\in Q</math> is linked to the neutral element of a certain parastrophe of <math>Q</math>, and that it is the only idempotent element of <math>Q</math>. ''Middle neutral'' or ''middle-neutral'' or ''middle identity'' does not seem to be an apt solution, because it simply does not stand in the middle like a [[Middle-associative elements of magma form submagma|middle-associative element]] does. ''Unipotent'' does not seem to be a good solution, because unipotency is a property of a structure, not of an element. In fact, like the additive identity and the multiplicate identity in a ring, it is the subtractive (right) identity of a quasigroup.
-In some quasigroups, <math>x * x = e</math> is a kind of 2. In German, the multiplicate identity is called ''Einselement'' (i. e. one-element), while the additive identity is the ''Nullelement'' (i. e. zero-element). So <math>x * x = e</math> as a kind of 2 could be the ''Zweielement'' (i. e. two-element).
-''Subtractive identity'' seems to me a good solution, better than possible - just theorizing - ''unineutral'', ''idemneutral'', ''idempotral'', ''idemunit'', ''unidentity'' [YOON-, not UN-], ''mnie'' (= '''m'''iddle '''n'''eutral '''i'''dentity '''e'''lement), ''mneutral'', ''ineutral'' or or or. What about ''transneutral'' (or maybe ''exoneutral''), because in <math>x * x = e</math>, the element <math>e</math> is on the other side of the equals sign, and Latin ''trans'' means on the opposite side, beyond?
-My aim is to express (II) as easy as (I) such as ''A pool is a quasigroup with a subtractive (right) identity <math>e</math>.'' or ''A pool is a quasigroup with an exoneutral element <math>e</math>.'' Thank you very much in advance. --[[User:CJKG|CJKG]] ([[User talk:CJKG|talk]]) 13:19, 8 July 2014 (UTC)