Last Updated:2026/01/01
Sentence
The
third
section
covers
a
construct
similar
to
the
ring
S°R
—
the
maximal
quotient
ring,
which
exists
for
any
ring.
(When
R
is
nonsingular,
the
maximal
quotient
ring
is
exactly
S°R.)
Finally,
Section
D
provides
an
answer
to
the
question
of
which
right
and
left
nonsingular
rings
have
coinciding
maximal
right
and
left
quotient
rings.
Quizzes for review
The third section covers a construct similar to the ring S°R — the maximal quotient ring, which exists for any ring. (When R is nonsingular, the maximal quotient ring is exactly S°R.) Finally, Section D provides an answer to the question of which right and left nonsingular rings have coinciding maximal right and left quotient rings.
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