View source for Semi-chain ring

''left (right)''

A [[Ring|ring]] which is a left (right) [[Semi-chain module|semi-chain module]] over itself.



====Comments====
Such a ring is also called right serial (respectively, left serial). A serial ring is one which is both left and right serial. An example of a serial ring is the ring of formal power series in one variable over a field.

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  C. Faith,   "Algebra" , '''II. Ring theory''' , Springer  (1976)  pp. Chapt. 25</TD></TR></table>