"Path algebras of quivers"의 두 판 사이의 차이

2021년 2월 17일 (수) 01:35 기준 최신판

Q quiver
a path in Q is a sequence \((i|\alpha_1,\alpha_2,\cdots,\alpha_l|j)\) such that \(s(\alpha_i)=t(\alpha_{i-1})\) for all \(i = 2, \cdots, l\)
the path algebra of kQ of Q is the k-algebra with basis the set of all paths in Q with multiplication in the basis given by concatenation of two paths
path algebra of a quiver
- given a quiver Q, a path p is a sequence of arrows with some conditions
- path algebra : set of all k-linear combinations of all paths (including e_i's)
- p_1p_2 will correspond to a composition \(p_2\circ p_1\) of two maps (\(U\overset{P_2}{\rightarrow }V\overset{P_1}{\rightarrow }W\))

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 ==introduction==
 * Q quiver
-* a path in Q is  a sequence $(i|\alpha_1,\alpha_2,\cdots,\alpha_l|j)$ such that $s(\alpha_i)=t(\alpha_{i-1})$ for all $i = 2, \cdots, l$
+* a path in Q is  a sequence <math>(i|\alpha_1,\alpha_2,\cdots,\alpha_l|j)</math> such that <math>s(\alpha_i)=t(\alpha_{i-1})</math> for all <math>i = 2, \cdots, l</math>
 * the path algebra of kQ of Q is the k-algebra with basis the set of all paths in Q with multiplication in the basis given by concatenation of two paths
 *  path algebra of a quiver
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 * https://docs.google.com/file/d/0B8XXo8Tve1cxVUgxZU5CUWVwdTA/edit?usp=drivesdk
 [[분류:migrate]]
+==메타데이터==
+===위키데이터===
+* ID :  [https://www.wikidata.org/wiki/Q493980 Q493980]
+===Spacy 패턴 목록===
+* [{'LEMMA': 'quiver'}]
+* [{'LOWER': 'directed'}, {'LEMMA': 'multigraph'}]