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 หัวเรื่อง:ไม่มีชื่อไทย (ชื่ออังกฤษ : Conductor ideals in Galois extensions) ผู้เขียน: ชาญวิทย์ ปราบพยัคฆ์ สื่อสิ่งพิมพ์:pdf AbstractLet K be an algebraic number field, OK its ring of integers. An order O in K is a subring of OK which contains a Z -basis for the field K. The conductor of O is the largest ideal of OK contained in O. This paper showed that Z + ? is the only one order in quadratic number fields having conductor ideal and conductor ideals were characterized in a Galois extension over Q. |
หัวเรื่อง:ไม่มีชื่อไทย (ชื่ออังกฤษ : Some Basic Properties of Almost-Prime Left Ideals in ?-Semirings) ผู้เขียน:Pairote Yiarayong สื่อสิ่งพิมพ์:pdf AbstractThe purpose of this paper was to introduce the notion of almost-prime left ideals in ?-semirings by studying prime and weakly almost-prime left ideals in ?-semirings. Some characterizations of almost-prime and weakly almost-prime left ideals were obtained. Moreover, the relationships between almost-prime and weakly almost-prime left ideals in ? –semirings were investigated. Keywords: ? -semiring, ideal, quasi-ideal, almost-prime left ideal, weakly almost-prime left ideal |
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