-
intersection of
subrings of R is
itself a
subring of R; therefore, the
subring generated by X (denoted here as S) is
indeed a
subring of R. This
subring S is the...
-
intersection of
subrings is a
subring.
Given a
subset E of R, the
smallest subring of R
containing E is the
intersection of all
subrings of R containing E, and...
-
Southern University and A&M
College (Southern University, Southern,
SUBR or SU) is a
public historically black land-grant
university in
Baton Rouge, Louisiana...
-
algebra extensions,
areas of mathematics,
there is a
notion of
depth two
subring or
depth of a
Frobenius extension. The
notion of
depth two is important...
- \mathbb {H} } can also be
identified and
expressed in
terms of
commutative subrings. Specifically,
since two
quaternions p and q
commute (i.e., p q = q p)...
- In algebra, the fixed-point
subring R f {\displaystyle R^{f}} of an
automorphism f of a ring R is the
subring of the
fixed points of f, that is, R f =...
- {\displaystyle x} . If A is a
subring of a ring B, and b is an
element of B, then A[b]
denotes the
subring of B
generated by A and b. This
subring consists of all the...
- then B {\displaystyle B} is a
union (equivalently an
inductive limit) of
subrings that are
finitely generated A {\displaystyle A} -modules. If A {\displaystyle...
- In mathematics,
especially in the
field of
module theory, the
concept of pure
submodule provides a
generalization of
direct summand, a type of particularly...
- ring GR(pn, r)
contains a
unique subring isomorphic to GR(pn, s) for
every s
which divides r.
These are the only
subrings of GR(pn, r). The
units of a Galois...
