Newbetuts
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New posts in rngs
For any rng $R$, can we attach a unity?
abstract-algebra
ring-theory
rngs
In a ring, how do we prove that a * 0 = 0?
abstract-algebra
ring-theory
rngs
Commutative rings without assuming identity
abstract-algebra
ring-theory
commutative-algebra
rngs
Pronunciation of `Rng` - the non-unital Ring
abstract-algebra
ring-theory
rngs
the ring of dual numbers over a field $k$
abstract-algebra
ring-theory
rngs
Product of Principal Ideals when $R$ is commutative, but not necessarily unital
abstract-algebra
ring-theory
ideals
rngs
Is there a name for this ring-like object?
abstract-algebra
ring-theory
terminology
rngs
The structure of a Noetherian ring in which every element is an idempotent.
commutative-algebra
ring-theory
rngs
idempotents
Must this rng be a ring?
abstract-algebra
ring-theory
rngs
A finite commutative ring with the property that every element can be written as product of two elements is unital
abstract-algebra
ring-theory
commutative-algebra
finite-rings
rngs
Why is it necessary for a ring to have multiplicative identity?
abstract-algebra
ring-theory
terminology
definition
rngs
Existence of prime ideals in rings without identity
abstract-algebra
ring-theory
commutative-algebra
rngs
if $S$ is a ring (possibly without identity) with no proper left ideals, then either $S^2=0$ or $S$ is a division ring.
abstract-algebra
ideals
rngs
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
abstract-algebra
commutative-algebra
ring-theory
rngs
Non-unital rings: a few examples
abstract-algebra
ring-theory
examples-counterexamples
rngs
Does a finite commutative ring necessarily have a unity?
abstract-algebra
ring-theory
rngs
finite-rings
Do Boolean rings always have a unit element?
abstract-algebra
rngs
If $I+J=R$, where $R$ is a commutative rng, prove that $IJ=I\cap J$.
abstract-algebra
ideals
rngs
Pathologies in "rng"
abstract-algebra
ring-theory
ideals
rngs
A maximal ideal is always a prime ideal?
abstract-algebra
ideals
rngs
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