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ON COMPONENT EXTENSIONS OF LOCALLY COMPACT ABELIAN GROUPS
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نویسنده
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sahleh h. ,alijani a. a.
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منبع
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journal of algebra and related topics - 2016 - دوره : 4 - شماره : 1 - صفحه:1 -11
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چکیده
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Let £ be the category of locally compact abelian groups and a, c ∈ £. in this paper, we define component extensions of a by c and show that the set of all component extensions of a by c forms a subgroup of ext(c, a) whenever a is a connected group. we establish conditions under which the component extensions split and determine lca groups which are component projective. we also gives a necessary condition for an lca group to be component injective in £.
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کلیدواژه
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Component extension ,component injective ,component projective
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آدرس
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university of guilan, department of mathematics, Iran, , Iran
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پست الکترونیکی
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alijanialiakbar@gmail.com
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Authors
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