Abstract
The notion of an A-group over a ring A is introduced in three different ways. The key idea consists in realizing a tensor completion of an A-group in the form of a concrete structure using free products with union. As a result, the description of free A-groups and free A-products is obtained in terms of free group structures.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 74, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2010), Part 1, 2011.
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Amaglobeli, M. Free products in the category of A-groups over a ring A . J Math Sci 186, 687–693 (2012). https://doi.org/10.1007/s10958-012-1015-9
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DOI: https://doi.org/10.1007/s10958-012-1015-9