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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 401 - 417 (17page)
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Ever since their introduction, skew PBW (Poincar e-Birkho -Witt) extensionsof rings have kept growing in importance, as researchers characterized their properties(such as primeness, Krull and Goldie dimension, homological properties, etc.) in terms ofintrinsic properties of the base ring, and studied their relations with other elds of math-ematics, as for example quantum mechanics theory. Many rings and algebras arising inquantum mechanics can be interpreted as skew PBW extensions. Our aim in this paper isto study skew PBW extensions of Baer, quasi-Baer, principally projective and principallyquasi-Baer rings, in the case when the base ring R is not assumed to be reduced. We justimpose some mild compatibleness over the base ring R, and prove that these propertiesare stable over this kind of extensions.
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참고문헌 (27)
참고문헌 신청
A. Bell / 1988 / Uniform rank over differential operator rings and Poincar´e-Birkhoff-Witt extensons / Pacific J. Math. 131 : 13 ~ 37
A. R. Nasr-Isfahani / 2008 / On Ore extensions of quasi-Baer rings / J. Algebra Appl. 2 : 211 ~ 224
A. R. Nasr-Isfahani / 2008 / and quasi-Baer differential polynomial rings / Comm. Algebra 36 : 3533 ~ 3542
A. Reyes / 2013 / and module theoretical properties of skew PBW extensions / Ph.D / Universidad Nacional de Colomia
A. Reyes / 2014 / Jacobson’s conjecture and skew PBW extension / Rev. Integr. Temas Mat. 32 : 139 ~ 152
A. R. Nasr-Isfahani / 2008 / On Ore extensions of quasi-Baer rings / J. Algebra Appl. 2 : 211 ~ 224
A. R. Nasr-Isfahani / 2008 / and quasi-Baer differential polynomial rings / Comm. Algebra 36 : 3533 ~ 3542
A. Reyes / 2013 / and module theoretical properties of skew PBW extensions / Ph.D / Universidad Nacional de Colomia
A. Reyes / 2014 / Jacobson’s conjecture and skew PBW extension / Rev. Integr. Temas Mat. 32 : 139 ~ 152
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