-
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 containingĀ E, and...
-
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...
-
Southern University and A&M
College (Southern University, Southern,
SUBR or SU) is a
public historically black land-grant
university in
Baton Rouge, Louisiana...
- 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 =...
- to R. The
characteristic is the
natural number n such that R
contains a
subring isomorphic to the
factor ring Z / n Z {\displaystyle \mathbb {Z} /n\mathbb...
- \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
center of a ring R is the
subring consisting of the
elements x such that xy = yx for all
elements y in R. It is a
commutative ring and...
- In mathematics,
especially in the
field of
module theory, the
concept of pure
submodule provides a
generalization of
direct summand, a type of particularly...
- over a
field are
subrings and
subalgebras over a field, respectively;
centralizers in Lie
rings and in Lie
algebras are Lie
subrings and Lie subalgebras...