-
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...
- {\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...
-
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...
- Conversely, if R is an ****ociative
algebra over a
commutative subring S, then S is a
subring of the
center of R, and if S
happens to be the
center of R,...
- R be a ring. Let S be a
subring of R, and let I be an
ideal of R. Then: The sum S + I = {s + i | s ∈ S, i ∈ I } is a
subring of R, The
intersection S ∩ I...
- 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...
-
tower of
iterated endomorphism rings above the
subring. A more
recent definition of
depth of any
unital subring in any ****ociative ring is
proposed (see below)...
-
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 =...
- In mathematics,
especially in the
field of
module theory, the
concept of pure
submodule provides a
generalization of
direct summand, a type of particularly...
