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on pseudo-contractibility of certain algebras related to a discrete semigroup
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نویسنده
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sahami amir ,kalantari shahab ,rostami mehdi
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منبع
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journal of algebraic structures and their applications - 2021 - دوره : 8 - شماره : 2 - صفحه:145 -155
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چکیده
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In this paper, we introduce a notion of ultra central approximate identity for banach algebras which is a generalization of the bounded approximate identity and the central approximate identity. using this concept we study pseudo-contractibility of some matrix algebras among ℓ1-munn algebras. as an application, for the brandt semigroup s = m0(g, i) over a non-empty set i, we show that ℓ1(s) has an ultra central approximate identity if and only if i is finite. also we show that the notion of pseudo-contractibility and contractibility are the same on ℓ1(s) ∗∗, where s is the brandt semigroup.
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کلیدواژه
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locally finite inverse semigroup ,matrix algebras ,pseudo-contractibility ,semigroup algebras ,ultra central approximate identity
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آدرس
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ilam university, faculty of basic sciences, department of mathematics, iran, babol noshirvani university of technology, department of basic science, iran, amirkabir university of technology, faculty of mathematics and computer science, iran
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پست الکترونیکی
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mross@aut.ac.ir
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Authors
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