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Expressing Laurent polynomials using generators and relations

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#abstract-algebra #polynomials #ring-theory #quotient-spaces
115
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Cardinality of units in a commutative ring with unity

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#abstract-algebra #ring-theory
1.8k
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Is every torsion-free abelian group isomorphic to $\mathbb{Z}^n$?

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#abstract-algebra #group-theory #abelian-groups
104
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Is my interpretation of the 'polynomial quotient ring' $\mathbb{Z}_p [x] / f(x)$ correct?

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#abstract-algebra #ring-theory #ideals
81
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Permutations of given cycle type and rotation

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#abstract-algebra #permutations
36
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Solvable Frobenius Group

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#abstract-algebra
232
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Is it possible to refine any ascending/descending chain to a composition series for a module?

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#abstract-algebra
93
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Phase-shift between $\sum_{k=0}^n \cos\pi(x)$ and $\sum_{k=0}^n \cos\pi(x-k)$

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#abstract-algebra #trigonometry #summation
621
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Is this a mistake in Dummit & Foote?

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#abstract-algebra #ring-theory
560
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Definition of the Quantum plane and the Yang Baxter Equation

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#abstract-algebra #matrix-equations #hopf-algebras #quantum-groups
85
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Minimum size of subgroup

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#abstract-algebra #group-theory #symmetric-groups #group-actions
80
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Proving $(x + y, z - 1)$ and $(x - z^2, y + z) \subseteq k[x,y,z]$ as ideals are radical

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#abstract-algebra #algebraic-geometry
78
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Is $\mathbb{C}[q,q^{-1}]/(q-1)\mathbb{C}[q,q^{-1}] = \mathbb{C}$?

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#abstract-algebra #commutative-algebra
39
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Order of each element in the given group

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#abstract-algebra
119
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Can you explain this power-series factorization?

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#abstract-algebra #algebraic-geometry #commutative-algebra

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