New characterizations of S-coherent rings
نویسندگان
چکیده
In this paper, we introduce and study the class [Formula: see text]-[Formula: text]-ML of text]-Mittag-Leffler modules with respect to all flat modules. We show that a ring text] is text]-coherent if only every ideal in text]-ML, closed under submodules. As an application, obtain text]-version Chase Theorem: any direct product copies text]-flat, text]-modules text]-flat. Consequently, provide answer open question proposed by Bennis El Hajoui [On text]-coherence, J. Korean Math. Soc. 55(6) (2018) 1499–1512].
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2021
ISSN: ['1793-6829', '0219-4988']
DOI: https://doi.org/10.1142/s0219498823500780