Equivalent Expressions of Direct Sum Decomposition of Groups1
نویسندگان
چکیده
منابع مشابه
Equivalent Expressions of Direct Sum Decomposition of Groups1
In this article, the equivalent expressions of the direct sum decomposition of groups are mainly discussed. In the first section, we formalize the fact that the internal direct sum decomposition can be defined as normal subgroups and some of their properties. In the second section, we formalize an equivalent form of internal direct sum of of commutative groups. In the last section, we formalize...
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In this article, direct sum decomposition of group is mainly discussed. In the second section, support of element of direct product group is defined and its properties are formalized. It is formalized here the fact that an element of direct product group belongs to its direct sum if and only if support of the element is finite. In the third section, product map and sum map are prepared. In the ...
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the concept of tense is an important issue in the morphological and syntactic analysis of words and sentences. the connection between this concept and other parts of the sentence, including the verb, and understanding its structural, semantic and conceptual differences has always been considered by russian and persian linguists. in this article, various types of direct and figurative applicatio...
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In the present paper for two $mathfrak{A}$-module Banach algebras $A$ and $B$, we investigate relations between $varphi$-$mathfrak{A}$-module approximate amenability of $A$, $psi$-$mathfrak{A}$-module approximate amenability of $B$, and $varphioplus psi$-$mathfrak{A}$-module approximate amenability of $Aoplus B$ ($l^1$-direct sum of $A$ and $B$), where $varphiin$ Hom$_{mathfrak{A}}(A)$ and $psi...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2015
ISSN: 1898-9934
DOI: 10.2478/forma-2015-0006