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PRIMARY IDEALS IN BRANCH ALGEBRA OF ANALYTIC FUNCTIONS

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Title: PRIMARY IDEALS IN BRANCH ALGEBRA OF ANALYTIC FUNCTIONS

Authors: Dr. Abdul Rauf Khan

Journal: Sindh University Research Journal - Science Series (SURJ)

HEC Recognition History
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Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
Y 2021-07-01 2022-06-30

Publisher: University of Sindh, Jamshoro

Country: Pakistan

Year: 1998

Volume: 30

Issue: 1

Language: English

Keywords: Primary idealsanalytic functions

Categories
Functional Analysis (104) Abstract Algebra (137) Mathematics (5170) Complex Analysis (54) Real Analysis (10)

Abstract

Let A(D) be a Branch Algebra of Analytic Functions on a subset D of the complex plane. Thus if A(D) is a Noetherian Ring, b and d are ideals in A(D), where b is the radical of d. It is shown that if bd for some integer then d is a primary ideal in A(D).

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