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Conditions on The Lemma 3.5.1 of Herstein

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#abstract-algebra #ring-theory #rngs
658
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Runs-Up/Down RNG test question.

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#algorithms #rngs
102
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$\mathrm{ann}(R/I) = I$ only when $R$ is unital?

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#abstract-algebra #ring-theory #rngs
231
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A non-Boolean ring without unity with this property

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#abstract-algebra #ring-theory #examples-counterexamples #rngs #boolean-ring
2.6k
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Finite rings of prime order must have a multiplicative identity

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#abstract-algebra #ring-theory #rngs
3.6k
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Applications of rings without identity

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#rngs
7.1k
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Non-unital rings: a few examples

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#abstract-algebra #ring-theory #examples-counterexamples #rngs
1.3k
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Ring homomorphisms which map a unit to a unit map unity to unity?

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#ring-theory #rngs
4.1k
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Why are ideals more important than subrings?

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#abstract-algebra #commutative-algebra #ideals #rngs
8.2k
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Does a finite commutative ring necessarily have a unity?

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#abstract-algebra #ring-theory #rngs #finite-rings
668
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A finite commutative ring with the property that every element can be written as product of two elements is unital

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#abstract-algebra #ring-theory #commutative-algebra #finite-rings #rngs
2.7k
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the ring of dual numbers over a field $k$

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#abstract-algebra #ring-theory #rngs
2.7k
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Commutative rings without assuming identity

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#abstract-algebra #ring-theory #commutative-algebra #rngs
476
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What is an element of a rng called which is not the product of any elements?

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#reference-request #ring-theory #terminology #rngs
436
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Prove that every commutative infinite rng $R$ has an infinite subrng $S$ s.t $S\neq R$

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#abstract-algebra #ring-theory #rngs

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