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标题：A “<svg style="vertical-align:-0.198pt;width:10.4375px;" id="M1" height="10.2125" version="1.1" viewBox="0 0 10.4375 10.2125" width="10.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.2125)"> <g transform="translate(72,-63.83)"> <text transform="matrix(1,0,0,-1,-71.95,64.08)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝜐</tspan> </text> </g> </g> </svg>-Operation Free” Approach to Prüfer <svg style="vertical-align:-0.198pt;width:10.4375px;" height="10.2125" version="1.1" viewBox="0 0 10.4375 10.2125" width="10.4375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.2125)"> <g transform="translate(72,-63.83)"> <text transform="matrix(1,0,0,-1,-71.95,64.08)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝜐</tspan> </text> </g> </g> </svg>-Multiplication Domains
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作者：Marco Fontana ; Muhammad Zafrullah
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2009
卷号：2009
DOI：10.1155/2009/349010
出版社：Hindawi Publishing Corporation
摘要：The so-called Prüfer 𝜐-multiplication domains (P𝜐MDs) are usually defined as domains whose finitely generated nonzero ideals are 𝑡-invertible. These domains generalize Prüfer domains and Krull domains. The P𝜐MDs are relatively obscure compared to their very well-known special cases. One of the reasons could be that the study of P𝜐MDs uses the jargon of star operations, such as the 𝜐-operation and the 𝑡-operation. In this paper, we provide characterizations of and basic results on P𝜐MDs and related notions without star operations.