Disclaimer: The following is not legal advice.

As the copyright laws of many countries may apply, you would have to check your projects compatibility with each of them, which you might consider a disproportional amount of work. However, there is a minimum allowance any country’s copyright laws have to make to be any reasonable (e.g., without which most journalism would be illegal). Assuming these, one can make the following thoughts:

There are only two things, to which copyright laws will apply: The title and the abstract. Everything else would at least fail to be over the threshold of originality (and probably many other criterions).

Now, a reasonable copyright law has to have some mechanism that allows for short quotations: In the U.S. this would be covered by fair use and maybe something else; Germany has a special paragraph for quotations, etc. However, at least in some countries, if not all, there are no clear legal limits regarding the circumstances and length of a quotation – e.g., the U.S. fair use is “only” likely to be in your favour as explained by David Z. While the title can be safely assumed to be legal to quote, the abstract is in this grey area (under the above assumptions).

Hence I would refrain from publishing the abstracts (even more so, as they are usually freely available on the Journal’s home page, which you can link).

Disclaimer: The following is not legal advice.

As the copyright laws of many countries may apply, you would have to check your projects compatibility with each of them, which you might consider a disproportional amount of work. However, there is a minimum allowance any country’s copyright laws have to make to be any reasonable (e.g., without which most journalism would be illegal). Assuming these, one can make the following thoughts:

There are only two things, to which copyright laws will apply: The title and the abstract. Everything else would at least fail to be over the threshold of originality (and probably many other criterions).

Now, a reasonable copyright law has to have some mechanism that allows for short quotations: In the U.S. this would be covered by fair use and maybe something else; Germany has a special paragraph for quotations, etc. However, at least in some countries, if not all, there are no clear legal limits regarding the circumstances and length of a quotation – e.g., the U.S. fair use is “only” likely to be in your favour as explained by David Z. While the title can be safely assumed to be legal to quote, the abstract is in this grey area (under the above assumptions).

Hence I would refrain from publishing the abstracts (even more so, as they are usually freely available on the Journal’s home page, which you can link).