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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 | ||
| مراجع | ||
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[1] A.L. Foster: The theory of Boolean like rings, Trans. Amer. Math. Soc. Vol. 59,166-167(1946) [2] Dawit C. and K. Venkateswarlu.: Skew Boolean modules, International Journal of algebra, 343-360(2015) [3] Jagannadham, P.V.: Linear transformation in a Boolean vector space, Math.Annalen, 167 (1966) 240-247 [4] Stroup, F. O, On the theory of Boolean vector spaces, Doctoral thesis, University of Missouri, Colombia, 1969 [5] Subrahmanyam N.V., Boolean semi rings, Math. Annalen 148, (1962)395-401 [6] Subrahmanyam, N.V.: Boolean vector space I, Math.Zietschr, 83, 422-433 (1964) [7] Swaminathan, V.: On Foster’s Boolean like rings, Math. seminar notes. Kobe University, Japan, Vol.8 (1980), 347-367. | ||
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