AUTOMATIC CONTINUITY OF ALMOST DERIVATIONS ON LMC Q-ALGEBRAS

被引：0

作者：

Siva, G. ^{[1
]}

机构：

[1] Rajiv Gandhi Natl Inst Youth Dev, Dept Math, Sriperumbudur 602105, Tamil Nadu, India

来源：

MATEMATICKI VESNIK | 2025年 / 77卷 / 02期

关键词：

LMC-algebra; almost derivation; automatic continuity; UNIQUENESS;

D O I：

10.57016/MV-9K9832wr

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, almost derivation on LMC algebras is introduced. Also, it is proved that every almost derivation(or, surjective almost derivation) T on semisimple LMC Q-algebras Gamma with an additional condition on Gamma has a closed graph. Moreover, it is derived that every almost derivation(or, surjective almost derivation) T on semisimple commutative(or, non commutative) Fre<acute accent>chet Q-algebra Gamma with an additional condition on Gamma is continuous. To further illustrate our primary results, an example is provided.

引用

页码：141 / 146

页数：6

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