Serial piecewise domains

A ring \(A\) is called a  piecewise domain with respect to the complete set of idempotents \(\{e_1, e_2, \ldots, e_m\}\) if every nonzero homomorphism  \(e_iA \rightarrow e_jA\) is a monomorphism.  In this paper we study the rings for which conditions of   being piecewise domain and being hereditary...

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Bibliographic Details
Date:2018
Main Authors: Gubareni, Nadiya, Khibina, Marina
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/868
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics