Special multiserial algebras are quotients of symmetric special multiserial algebras

详细信息    查看全文

• 作者：Edward L. Green^a ; ^{green@math.vt.edu} ; Sibylle Schroll^b ; ^{schroll@le.ac.uk}
• 关键词：16G20
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：473
• 期：Complete
• 页码：397-405
• 全文大小：284 K
• 卷排序：473

文摘

Recall of the definitions of special multiserial and almost gentle algebras. Introduction of the new notions of defining pairs and algebras defined by cycles. Proof that every symmetric special multiserial algebra is isomorphic to an algebra defined by cycles. Introduction of two functions determining the unique predecessor and successor of an element in a special multiserial algebra if they exist. Proof that every special multiserial algebra is a quotient of a symmetric special multiserial algebra.