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In this paper, we introduce the concept of sequential I-convergence spaces and I-Fréchet-Urysohn space and study their properties. We give a sufficient condition for the product of two sequential I-convergence spaces to be a sequential I-convergence space. Finally, we introduce sequential I-convergence groups and obtain an I-completion of these groups satisfying certain conditions.

On I-Fréchet-Urysohn spaces and sequential I-convergence groups