# Thread:

1. ## module notation

Hi. I'm trying to figure out what $M=Rm$ means in an assignment question (I won't post the question since its being marked). Some possibly relevant context:
$M$ is an $R$ module
$R$ is a PID
$\textrm{ann}_R(m) = (p)$ for some $p \in R$

2. Originally Posted by badgerigar

Hi. I'm trying to figure out what $M=Rm$ means in an assignment question (I won't post the question since its being marked). Some possibly relevant context:

$M$ is an $R$ module.
it means $M,$ as $R$ module, is generated by $m \in M.$ in other words $M=Rm=\{rm: \ r \in R \}.$
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 13, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.977523684501648, "perplexity_flag": "middle"}