Ss-supplemented幺

IF 1.1 Q1 MATHEMATICS JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1524

Ahmed H. Alwan, Zainab R. Sharif

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引用次数: 0

摘要

如果T的所有子半模N在T中都有补L，使得N∩L是半单的，则一个半模T被称为ss补。如果Rad(T)是半简单的并且T是局部的，则T被命名为强局部的。证明了每个强局部半模都是充分补充的。如果T是一个缺补的p射影相减半模，此时T是充分缺补的。

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Ss-supplemented semimodules

A semimodule T is named ss-supplemented if all subsemimodule N of T have supplement L in T such that N ∩ L is semisimple. T is named strongly local if Rad(T) is semisimple and T is local. It is shown that every strongly local semimodule is amply ss-supplemented. If T is an ss-supplemented p-projective subtractive semimodule, at that time T is amply ss-supplemented.

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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.