STRONGLY PRIME FUZZY IDEALS AND RELATED FUZZY IDEALS IN AN INTEGRAL DOMAIN

• 발행기관: 충청수학회
• 저자명: Myeong Og Kim Hwan koo Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 3, 333~351쪽, 전체 19쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.09.30

영문 초록

We introduce the concepts of strongly prime fuzzy ideals, powerful fuzzy ideals, strongly primary fuzzy ideals, and pseudo- strongly prime fuzzy ideals of an integral domain R and we pro- vide characterizations of pseudo-valuation domains, almost pseudo- valuation domains, and pseudo-almost valuation domains in terms of these fuzzy ideals.

목차

1. Introduction

2. Strongly prime fuzzy ideals

3. Powerful fuzzy ideals

4. Strongly primary fuzzy ideals

5. Pseudo-strongly prime fuzzy ideals

Acknowledgments.

References