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FINITE Rings which are not isomorphic to their opposite

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#abstract-algebra #ring-theory
784
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Problem reagarding the annihilator of a $\mathbb Z$-module

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#abstract-algebra #ring-theory #modules
515
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Computing the unit group of a residue ring

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#ring-theory #algebraic-number-theory
88
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Understanding an example of an Integral Domain where the Ascending Chain Condition on Principal Ideals is not satisfied

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#ring-theory
487
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Proving the ideal generated by subset of a ring is the set of linear combinations of the subset and the ring.

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#linear-algebra #abstract-algebra #ring-theory #field-theory #finite-fields
97
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Is there an anticommutative counterpart to the center of a ring?

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#abstract-algebra #ring-theory
218
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Proof Check: Idempotents of a local commutative ring

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#abstract-algebra #ring-theory #commutative-algebra
550
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Finding All Ring Homomorphisms from $\Bbb Z_m$ to $\Bbb Z_n$

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#abstract-algebra #ring-theory #modular-arithmetic #ring-homomorphism
1.3k
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Justifying $\mathbb{Z}$ is a commutative ring with 1.

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#abstract-algebra #ring-theory
249
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A ring has an idempotent if its quotient with nilradical has an idempotent.

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#abstract-algebra #ring-theory #commutative-algebra
54
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Units, Primes and Irreducibles

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#polynomials #ring-theory #irreducible-polynomials #prime-factorization
40
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Rings, sub-rings and ideals example

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#abstract-algebra #ring-theory #ideals
605
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How can the intersection of nonzero ideals be zero?

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#abstract-algebra #ring-theory #ideals
1.1k
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Prove that the ring $\mathbb Z $ [x] (ring of all polynomials with integer coefficients) has unity.

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#abstract-algebra #group-theory #ring-theory
187
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Describe the divisors of zero in a ring.

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#abstract-algebra #ring-theory

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