-
Artinian may
refer to:
Objects named for
Austrian mathematician Emil
Artin (1898–1962)
Artinian ideal, an
ideal I in R for
which the
Krull dimension of...
- In mathematics,
specifically abstract algebra, an
Artinian ring (sometimes
Artin ring) is a ring that
satisfies the
descending chain condition on (one-sided)...
-
Artinian submodule such that M/N is
Artinian, then M is
Artinian. As a consequence, any finitely-generated
module over an
Artinian ring is
Artinian....
- In
abstract algebra, an
Artinian ideal,
named after Emil Artin, is
encountered in ring theory, in particular, with
polynomial rings.
Given a polynomial...
-
semisimple rings and
semisimple algebras. The
theorem states that an (
Artinian)
semisimple ring R is
isomorphic to a
product of
finitely many ni-by-ni...
-
condition (DCC) is
called an
Artinian group (not to be
confused with
Artin groups), by
analogy with
Noetherian rings and
Artinian rings. The ACC is equivalent...
- 1935.
Since it is
known that
right Artinian rings are semiprimary, a
direct corollary of the
theorem is: a
right Artinian ring is also
right Noetherian. The...
- its parts. A ring that is a
semisimple module over
itself is
known as an
Artinian semisimple ring. Some
important rings, such as
group rings of
finite groups...
-
Heather Artinian (born 1993) is a Deaf
American lawyer who was the
subject of the do****entary
Sound and Fury when she was a child.
Although her parents...
-
Artine Artinian (December 8, 1907 –
November 19, 2005) was a
distinguished French literature scholar of
Armenian descent,
notable for his
valuable collection...
