1,721,426 research outputs found

    Unique Representation Domains, II

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    Given a star operation * of finite type, we call a domain R a *-unique representation domain (*-URD) if each *-invertible ideal of R can be uniquely expressed as a *-product of pairwise *-comaximal ideals with prime radical. When * is the t-operation let us call such a domain simply a URD. Any unique factorization domain is a URD. Generalizing and unifying results due to M. Zafrullah (1978) and J. Brewer-W. Heinzer (2002), we give conditions for a *-ideal to be a unique *-product of pairwise *-comaximal ideals with prime radical and characterize *-URDs. We show that the class of URDs includes rings of Krull type, the generalized Krull domains introduced by El Baghdadi and weakly Matlis domains whose t-spectrum is treed. We also study when the property of being a URD extends to some classes of overrings, such as polynomial extensions, rings of fractions and rings obtained by the D+XDS[X]D+XD_S[X] construction

    A “υ-Operation Free” Approach to Prüfer υ-Multiplication Domains

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    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

    Upaya Indonesia Untuk Mencapai Sumber Daya Manusia Yang Berdaya Saing Global

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    Paper ini merupakan review dari peneliti sebelumnya yaitu Ahmad Zafrullah Tayibnapis, Lucia Endang Wuryaningsih, dan Radita Gora yang menjelaskan tentang upaya Indonesia untuk mencapai sumber daya manusia yang berdaya saing global dalam mencapai revolusi industri 4.0 yang unggul agar dapat bersaing secara global

    TUGAS REVIEW Perekonomian Indonesia , Ahmad Zafrullah

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    Tugas mereview salah satu artikel yang terdapat di scholar.google.com by [email protected]

    Some remarks on Prüfer *-multiplication domains and class groups

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    Let DD be an integral domain with quotient field KK and let XX be an indeterminate over DD. Also, let T:={TλλΛ}\boldsymbol{\mathcal{T}}:=\{T_{\lambda }\mid \lambda \in \Lambda \} be a defining family of quotient rings of DD and suppose that \ast is a finite type star operation on DD induced by T\boldsymbol{\mathcal{T}}. We show that DD is a P\ast MD (resp., PvvMD) if and only if (\co_D(fg))^{\ast }=(\co_D(f)\co_D(g))^{\ast } (resp., (\co_D(fg))^{w }=(\co_D(f)\co_D(g))^{w }) for all 0f,gK[X]0 \ne f,g \in K[X]. A more general version of this result is given in the semistar operation setting. We give a method for recognizing PvvMD's which are not P\ast MD's for a certain finite type star operation \ast . We study domains DD for which the \ast --class group \Cl^{\ast }(D) equals the tt--class group \Cl^{t}(D) for any finite type star operation \ast , and we indicate examples of PvvMD's DD such that \Cl^{\ast(D)\subsetneq \Cl^{t}(D). We also compute \Cl^v(D) for certain valuation domains DD

    Industrial training report: Petronas Sdn Bhd / Nur Fatini Adilah Zafrullah

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    This report highlights the experience and skills I gained during my six months of Internship Practical at Petronas Company, from March 1st to August 9th, 2024, under the supervision of the director, Puan Hafizah Ahmad Afif. The purpose of the project is to fulfil the core requirements for the award of a Bachelor in Business Administration (HONS) Marketing Degree by providing students with a practical aspect of the theoretical work that they have studied at the university, as well as to allow students to gain experience working in a workplace. During my period of this internship, I learned a lot of new things. This company provides multitasking to their intern. As a result, I learned not only about finance, but I also learn about various things such as documentation, human resources, marketing, and others. This report discusses the SWOT analysis of Petronas Company as well as skills acquired and experience gained during the training period, thereby justifying the scheme's relevance in providing students with the professional abilities required to thrive in the real world

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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