algebra_fan

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31 Answers

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10	Can a Gaussian integer matrix have an inverse with Gaussian integer entries?
10	How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?
7	product of two ideals
6	Is this $\left\|\left(\frac{a}{b}\right)^n-\left(\frac{a}{b}\right)^{n-1}\right\|$ bounded?
6	Is the determinant of a matrix lower when all its elements are lower?

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1,286 Reputation

+20	Can a Gaussian integer matrix have an inverse with Gaussian integer entries?
+10	Difference between bijection and isomorphism?
+10	How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?
+10	How are polynomials mod m reduced?

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3 Questions

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18	A finite ring is a field if its units $\cup\ \{0\}$ comprise a field of characteristic $\ne 2$
7	the localization of a ring is an integral domain iff the annihilators of zero divisors are comaximal ideals
2	Justification for applying Rouché's theorem for an unbounded domain

31 Tags

27 linear-algebra × 5	14 complex-numbers × 3
18 elementary-set-theory × 4	8 field-theory × 4
16 abstract-algebra × 7	7 analysis × 2
16 matrices × 2	7 calculus × 2
15 ring-theory × 4	6 polynomials × 2

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