ASSOCIATIVE RINGS WITH LARGE CENTER

D. V. Zlydnev

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ASSOCIATIVE RINGS WITH LARGE CENTER

机译：大中心关联环

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A ring R is called a ring with large center if any nonzero ideal of R has nonzero intersection with the center of R. We give some conditions for an ideal of a ring with large center to be itself a ring with large center, and also we provide an example of a ring with large center R and its ideal I < R such that I is not a ring with large center.

机译：如果R的任何非零理想与R的中心相交不为零，则将R称为具有大中心的环。我们给出了一些条件，以使具有大中心的环的理想状态本身成为具有大中心的环，并且提供一个具有大中心R且理想值I

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《Journal of Mathematical Sciences》 |2013年第5期|691-693|共3页
作者
D. V. Zlydnev;
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Moscow State University, Moscow, Russia;

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正文语种 eng
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ASSOCIATIVE RINGS WITH LARGE CENTER

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