Semi-chain ring
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
left (right)
A ring which is a left (right) 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
| [a1] | C. Faith, "Algebra" , II. Ring theory , Springer (1976) pp. Chapt. 25 |
How to Cite This Entry:
Semi-chain ring. L.A. Skornyakov (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-chain_ring&oldid=15827
Semi-chain ring. L.A. Skornyakov (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Semi-chain_ring&oldid=15827
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098