query: Why this inequality holds for any finite ring?
positive_passages.docid: 63568
positive_passages.text: Ring with finitely many zerodivisors
negative_passages.docid: 96133
negative_passages.text: Prove that $ m_{a} \geq m_{g} \geq m_{h} $ using strict inequalities unless $ a = b $.
negative_passages.docid: 42581
negative_passages.text: Simple algebra square root inequality
negative_passages.docid: 109034
negative_passages.text: Does a finite $[E:K]_s$ imply that $[E_s:K]$ is finite?
negative_passages.docid: 77820
negative_passages.text: Roots in a polynomial ring
negative_passages.docid: 92822
negative_passages.text: Finite number of elements generating the unit ideal of a commutative ring
negative_passages.docid: 66451
negative_passages.text: In a ring, how do we prove that a * 0 = 0?
negative_passages.docid: 6646
negative_passages.text: A (non-artificial) example of a ring without maximal ideals
negative_passages.docid: 128493
negative_passages.text: Given a commutative ring $R$ and an epimorphism of free modules $R^m \to R^n$ is then $m \geq n$?
negative_passages.docid: 53123
negative_passages.text: Trying to derive a contradiction with this simple inequality,
negative_passages.docid: 5802
negative_passages.text: Proving the universal mapping property for polynomial rings
negative_passages.docid: 118244
negative_passages.text: An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$
negative_passages.docid: 105913
negative_passages.text: Calculations in quotient rings
negative_passages.docid: 119417
negative_passages.text: Tetrahedron inequality
negative_passages.docid: 115533
negative_passages.text: Inequality for small values of $t$
negative_passages.docid: 117005
negative_passages.text: Rules in the ring with coefficients in finite field $\mathbb{F}_p$
negative_passages.docid: 138195
negative_passages.text: An inequality for arctan$x$