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Details for article 20 of 28 found articles
| Title: |
On Von Neumann Regular Rings of Skew Generalized Power Series |
| Author: |
Mazurek, R. Ziembowski, M. |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 5 pages 1855-1868 |
| Year: |
2008-05 |
| Contents: |
In this paper we introduce a construction called the skew generalized power series ring R[[S, ω]] with coefficients in a ring R and exponents in a strictly ordered monoid S which extends Ribenboim's construction of generalized power series rings. In the case when S is totally ordered or commutative aperiodic, and ω(s) is constant on idempotents for some s ∈ S∖{1}, we give sufficient and necessary conditions on R and S such that the ring R[[S, ω]] is von Neumann regular, and we show that the von Neumann regularity of the ring R[[S, ω]] is equivalent to its semisimplicity. We also give a characterization of the strong regularity of the ring R[[S, ω]]. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 20 of 28 found articles
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