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Semi-chain ring

From Encyclopedia of Mathematics
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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
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098