NORMALITY AND RELATED PROPERTIES OF FORCING ALGEBRAS
Autor(en): | Brenner, Holger Gomez-Ramirez, Danny de Jesus |
Stichwörter: | Forcing algebra; Irreducibility; Mathematics; Normality; Normalization; Reduceness | Erscheinungsdatum: | 2016 | Herausgeber: | TAYLOR & FRANCIS INC | Journal: | COMMUNICATIONS IN ALGEBRA | Volumen: | 44 | Ausgabe: | 11 | Startseite: | 4769 | Seitenende: | 4793 | Zusammenfassung: | The authors present a sufficient condition for irreducibility of forcing algebras and study the (non) reducedness phenomenon. Furthermore, the authors prove a criterion for normality of forcing algebras over a polynomial base ring with coefficients in a perfect field. This gives over algebraically closed fields a geometrical normality criterion for algebraic (forcing) varieties. Besides, the authors examine in detail a specific (enlightening) example with several forcing equations. Finally, the authors compute explicitly the normalization of a particular forcing algebra by means of finding explicitly the generators of the ideal defining it as an affine ring. |
ISSN: | 00927872 | DOI: | 10.1080/00927872.2015.1113291 |
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geprüft am 17.05.2024