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Weakly linear homomorphisms in skew boolean modules | ||
Journal of Hyperstructures | ||
دوره 4، شماره 2، اسفند 2015، صفحه 126-135 اصل مقاله (90.54 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2015.2603 | ||
نویسندگان | ||
Dawit Chernet* 1؛ K. Venkateswarlu2 | ||
1Department of Mathematics, Addis Ababa University, P.O.Box 1176, Addis Ababa, Ethiopia | ||
2Department of Mathematics, Dr.Lankapalli Bullyya College of Engineering for Women, Visakhapatnam, India | ||
چکیده | ||
In this paper we introduce the notion of linear, weakly linear and strongly linear homomorphisms between two Skew Boolean modules and obtain various properties. We also introduce a scalar multiplication on the set of all weakly linear homomorphisms (wHom(V, W)) and prove that (wHom(V, W)) is again a Skew Boolean module . Further We show that the set of all strongly linear homomorphisms (stHom(V, W)) is a sub Skew Boolean module of wHom(V, W). | ||
کلیدواژهها | ||
Boolean like rings؛ Skew Boolean module؛ sub Skew Boolean module؛ Linear homomorphisms | ||
آمار تعداد مشاهده مقاله: 9 تعداد دریافت فایل اصل مقاله: 15 |