PageRank is a link analysis algorithm assigns a numerical weighting to each web. PageRank uses link structure as an indicator of an individual page's value.
SERP Rank
The SERP (Search Engine Results Page) is the actual result returned by a search engine in response to a keyword query. The SERP consists of a list of links to web pages with associated text. The SERP rank of a web page refers to the placement of the corresponding link on the SERP, where higher placement means higher SERP rank.
Google's rel="nofollow" option: Page Rank
the rel attribute of HTML link and anchor elements, so that website developers and bloggers can make links that Google will not consider for the purposes of PageRank — they are links that no longer constitute a "vote" in the PageRank system.