Weakly UU rings

Peter V. Danchev

doi:10.21099/tkbjm/1474747489

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Home > Journals > Tsukuba J. Math. > Volume 40 > Issue 1 > Article

July 2016 Weakly UU rings

Peter V. Danchev

Tsukuba J. Math. 40(1): 101-118 (July 2016). DOI: 10.21099/tkbjm/1474747489

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Abstract

We introduce and give a comprehensive study of weakly UU rings, calling them WUU rings. This notion is a natural generalization of the so-called UU rings, defined by Calugareanu (Carpath. J. Math., 2015) and investigated in details by Danchev-Lam (Publicat. Math. Debrecen, 2016). It also demarcates the strength of recent results about these kind of rings by giving a strong barrier between some of their crucial properties.