On lifting and extending properties on direct sums of hollow uniform modules
نویسندگان
چکیده
A module M is said to belifting if, for anysubmodule N of M, there exists a direct summand X contained in such that N/X small M/X. satisfy the finite internal exchange propertyif, any and sum decomposition M=Lni=1Mi, M′i Mi (i= 1,2, . , n) M=X⊕(Lni=1M′i). In this paper, we first give characterizations forthe square hollow uniform be lifting (extending). addition, solve negatively question "Does property?" as an application result.
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ژورنال
عنوان ژورنال: Algebra and discrete mathematics
سال: 2022
ISSN: ['1726-3255', '2415-721X']
DOI: https://doi.org/10.12958/adm1643