On PM-rings, rings of finite character and h-local rings

N Mahdou, A Mimouni, MAS Moutui - Journal of Algebra and its …, 2014 - World Scientific
Journal of Algebra and its Applications, 2014World Scientific
In this paper, we investigate the transfer of the notions of pm-rings, rings of finite character
and h-local rings to trivial ring extensions of rings by modules, amalgamations of rings along
ideals and pullbacks. Our aim is to provide new classes of commutative rings satisfying
these properties and our results generate new families of examples of rings for which the
finite character and semi-local properties are equivalents.
In this paper, we investigate the transfer of the notions of pm-rings, rings of finite character and h-local rings to trivial ring extensions of rings by modules, amalgamations of rings along ideals and pullbacks. Our aim is to provide new classes of commutative rings satisfying these properties and our results generate new families of examples of rings for which the finite character and semi-local properties are equivalents.
World Scientific
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