• Title/Summary/Keyword: S-coherence rings

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ON S-COHERENCE

  • Bennis, Driss;El Hajoui, Mohammed
    • Journal of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1499-1512
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    • 2018
  • Recently, Anderson and Dumitrescu's S-finiteness has attracted the interest of several authors. In this paper, we introduce the notions of S-finitely presented modules and then of S-coherent rings which are S-versions of finitely presented modules and coherent rings, respectively. Among other results, we give an S-version of the classical Chase's characterization of coherent rings. We end the paper with a brief discussion on other S-versions of finitely presented modules and coherent rings. We prove that these last S-versions can be characterized in terms of localization.

S-COHERENT PROPERTY IN TRIVIAL EXTENSION AND IN AMALGAMATED DUPLICATION

  • Mohamed Chhiti;Salah Eddine Mahdou
    • Communications of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.705-714
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    • 2023
  • Bennis and El Hajoui have defined a (commutative unital) ring R to be S-coherent if each finitely generated ideal of R is a S-finitely presented R-module. Any coherent ring is an S-coherent ring. Several examples of S-coherent rings that are not coherent rings are obtained as byproducts of our study of the transfer of the S-coherent property to trivial ring extensions and amalgamated duplications.

A Research on the Women's Costume on the Bigdata of Movie Napoleon

  • Weolkye KIM;Sangwon LEE
    • International Journal of Advanced Culture Technology
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    • v.12 no.3
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    • pp.21-28
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    • 2024
  • The public can access movies more easily than any other cultural genre. The film's costumes convey the social, political, and cultural climate of that time period. Additionally, it subtly conveys the message of the movie, including the intentions of the director and the characters. Filmmakers can now use fact-based materials to plan their films, and audiences can now watch costume in movies with objective standards, particularly in period dramas, thanks to the advancements in over-the-top (OTT) services. The 77th British Academy costume Award went to the movie Napoleon because of how much emphasis it placed on the outfit. Ninety-five percent of the costume was made by experts in military uniforms and costumery. In contrast to the previous aristocratic and exaggerated Rococo costume, Napoleonic clothing had a natural and common-class character. A natural-shaped Chemise dress composed of light, reflective material first appeared in the Directoire era, just after the French Revolution. Chemise dresses made of a variety of materials gained popularity during the Empire era. With Napoleon taking the throne and Josephine becoming the empress, the vibrant court culture resurfaced during the Empire era. The silk was embellished with gold thread and embroidery, train dangling forms, and different types of sleeves appeared in Empire styles. They wore Pellisse and shawls under the coat. The hair style had long, ancient hair and was adorned with fillets. They also wore straw hats, bonnets, and caps. Long gloves and parasols were also popular accessories, as were pearl or colored jewelry necklaces, earrings, bracelets, and rings. During the Empire era, tiaras were fashionable. Shoes were either low-heeled pumps or sandals. The movie uses Chemise and Empire costumes, which are versatile enough to be used in a range of settings and eras. When it came to details, the type of sleeve was employed without regard to time, such as when using those from an earlier or later period. Since jewelry was worn more often than not in that era, practically every character has earrings on their necklaces. Nearly exact replicas of the coronation costume can be found in paintings by Jacques-Louis David. The red trains, Josephine's Empire dress, the crown, the Tiara, and the costumes of every character in attendance were all clearly identifiable in terms of form and color. To further aid viewers in understanding and enhancing the film's overall coherence, a scene featuring David drawing the coronation was added. Overall, there were differences in that the historical costumes were accurately recreated, the materials and details were utilized without restriction, and some of the costumes were designed with modern materials or accessories that were used more than the historical costumes. This section appears to have been written to highlight the beauty of the characters' personalities or settings. There is a limitation to this study in that it only looked at aristocratic clothing, which includes Josephine's. We will concentrate on male clothing in future research.