TITLE: How to cite math journals? 
QUESTION [12 upvotes]: This is kind of embarrassing, but I never figured out how to cite journal names in the bibliography, especially when to abbreviate and how. For example, do we write "Adv. in Math." or "Advances in Math."? Or is "Trans. of AMS" OK? So:

Is there any formal guideline on how to cite and abbreviate journals names in a math paper? 

I googled and found one resources which says: follow Math Sci Net. But it is not very convenient, since I would have to go to Math Sci Net and search for such journal every time I need to cite it.
And while we are at it, what is the protocol on arxiv links? Do we keep them in the citation after the paper is published, since it is still the most accessible source? 
Thank you!

REPLY [2 votes]: I agree with the other answers suggesting to use the standard abbreviations. The question is of course, Which are the standard abbreviations? Just recently (while arguing with the Springer Correction Team about, well, abbreviations of journal titles) I learned that for example Springer uses the abbreviations as given by the ISSN database. To me this seems indeed somewhat more standard and moreover more universal than any other list. Unfortunaetly, this list seems not accessible to mere mortals. But said page can, with some care, at least be partially useful, as it provides this accessible list of standard abbreviations of words that may occur in titles of serials.