English-Portuguese translations for group ring

• anel de grupo

Definition of group ring

• Given ring ''R'with identity not equal to zero, and group $G\; =\; \backslash \{g\_1,\; g\_2,\; ...,\; g\_n\backslash \}$, the group ring ''RG'has elements of the form $a\_1\; g\_1\; +\; a\_2\; g\_2\; +\; ...\; +\; a\_n\; g\_n$ such that the sum of $a\_1\; g\_1\; +\; a\_2\; g\_2\; +\; ...\; +\; a\_n\; g\_n$ and $b\_1\; g\_1\; +\; b\_2\; g\_2\; +\; ...\; +\; b\_n\; g\_n$ is $g\_1\; +\; g\_2\; +\; ...\; +\; g\_n$ and the product is $\backslash sum\_\{k=1\}^n\; \backslash left\; g\_k$

Related words

• steering group
• capturing group
• non-capturing group
• fringe group