ACADEMICIA: An International Multidisciplinary Research Journal
  • Year: 2020
  • Volume: 10
  • Issue: 6

2-Local multipliers on associative, lie and jordan algebras

*Andijan State University, Uzbekistan. Email id: arzikulovfn@rambler.ru

**Andijan State University, Uzbekistan. Email id: zhralieva@mail.ru

***Andijan State University, Uzbekistan. Email id: o.nuriddinov86@mail.ru

Online published on 10 August, 2020.

Abstract

The present paper is devoted to 2-local multipliers on associative, Lie and Jordan rings. It is proved that every 2-local left (right) multiplier on an arbitrary associative or Lie ring is a left (respectively right) multiplier. Also, it is proved that every 2-local Jordan multiplier of a Jordan ring is a Jordan multiplier.

Keywords

Associative Ring, Multiplier Operator, Lie Ring, Jordan Ring, 2-Local Mapping2010 MSC16W25, 46L57, 47B47, 17C65