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Example of a regular element in noncommutative rings

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#abstract-algebra #ring-theory #noncommutative-algebra #noncommutative-geometry #algebras
146
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Example of a ring of finite global dimension with flat qu0tient

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#abstract-algebra #ring-theory #noncommutative-algebra #algebras #global-dimension
59
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Show that $|5|=2^{n-2}$ when $n \ge 3$ in $U(2^n)$

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#group-theory #algebras
134
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Depth and kernel of multiplication map

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#abstract-algebra #algebraic-geometry #ring-theory #algebras #dimension-theory-algebra
70
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Example of a ring which is not CM at all its prime ideals

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #algebras
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Algebra generated by a collection of subsets of a set X

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#algebras
145
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Motivation for graded algebras

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#algebras
63
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Why does $x= (5/3)$ behave the same as $x=(-5/-3)$ in the equation $2x + 3 = 5x - 2$?

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#algebras
54
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0-1 roots in a free algebra

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#polynomials #algebras
130
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Commutative diagram of algebras in Atiyah and Macdonald.

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#abstract-algebra #commutative-algebra #algebras
37
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How the following Algebraic expression came?

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#algebras
3.4k
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What is an $R$-algebra?

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#abstract-algebra #ring-theory #modules #definition #algebras
176
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A counterexample to $Ae\simeq Ae^{\prime}\to A(1-e)\simeq A(1-e^{\prime})$

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#ring-theory #modules #examples-counterexamples #algebras #idempotents
73
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A general solution for a (x+y)^n = x^n + y^n

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#algebras
177
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Krull-Schmidt theorem and internally cancellable modules?

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#ring-theory #representation-theory #modules #algebras

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