Browsing by Author "Gumusel, Guenseli"

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    On fusible rings
    (Taylor & Francis inc, 2023) Gumusel, Guenseli; Kosan, M. Tamer; Zemlicka, Jan
    A ring R is called left fusible if every nonzero element is the sum of a left zero-divisor and a non-left zero-divisor, and R is called uniquely left fusible if for any a is an element of R there exists a unique left zero-divisor z such that a - z is non-left zero-divisor. We show that a left fusible ring R is uniquely left fusible if and only if either R is a domain or R has a unique non-left zero-divisor element.