Triangulating dimension of skew generalized power series rings

Paykan Kamal

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Triangulating dimension of skew generalized power series rings

机译：Triangulating dimension of skew generalized power series rings

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摘要

Let R be a ring, S a strictly ordered monoid and omega : S -> End(R) a monoid homomorphism. In this paper, we investigate the problem when a skew generalized power series ring R[[S, omega]] has the same triangulating dimension as the ring R. Furthermore, for a piecewise prime ring we determine a large class of the skew generalized power series ring which have a generalized triangular matrix representation for which the diagonal rings are prime. Our results extend and unify many existing results.

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来源
《Journal of algebra and its applications》 |2022年第5期|共15页
作者
Paykan Kamal;
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作者单位

Islamic Azad Univ;

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原文格式 PDF
正文语种英语
中图分类代数、数论、组合理论;
关键词
Skew generalized power series ring; strictly ordered monoid; semicentral idempotent; generalized triangular matrix representation; piecewise prime ring; quasi-Baer ring; triangulating dimension; NEUMANN REGULAR-RINGS; MATRIX REPRESENTATIONS; BAER; EXTENSIONS;

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Triangulating dimension of skew generalized power series rings

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