Paragraded groups were introduced in the scientific monograph: Structures paragraduées (groupes, anneaux, modules), Queen's Papers in pure and Applied mathematics, No. 77, Queen's University, Kingston, Ontario, Canada (1987), pp. 163,
No, M. Krasner and I have not found examples paragraded structures.
Hi, there are some examples
https://en.wikipedia.org/wiki/Examples_of_groups
Thank you, but this question is not so easily answered. However, I tried and got a negative response. Paragraded structures (groups, rings, modules) are interesting. M. Krasner and I had the motivation to introduce them, but we have not found examples
Additional information regarding one of questions:
1. More precisely, you can find two examples of extragraded groups (pp. 70-72) in my joint monograph with M. Krasner: Structures paragraduées (groups, anneaux, modules), Queen' s Papers in pure and applied Mathematics, No. 77, Queen's University, 1987, pp. VIII + 163.
2. each extragraduation is at the same time a paragraduation.
Remark: This theory has not yet been sufficiently explored, so it would be very important to find examples which might illustrate the role of the introduced notions and show their importance.
Why I asked this question:
I hope that some of the young researchers could be motivated to try in a new field of science that is not sufficiently explored where there is a lot of open problems that are otherwise first appeared in my joint work with Marc Krasner, the famous French mathematician of Russian origin.
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