λ–Algebra with Some of Their Properties | Zendy

Hassan H. Ebrahim | Zendy; Rusul Abd Al salam Ali | Zendy

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λ–Algebra with Some of Their Properties

Author(s) -

Hassan H. Ebrahim,

Rusul Abd Al salam Ali

Publication year - 2020

Publication title -

ibn al- haitham journal for pure and applied science

Language(s) - English

Resource type - Journals

eISSN - 2521-3407

pISSN - 1609-4042

DOI - 10.30526/33.2.2428

Subject(s) - algebra over a field , class (philosophy) , mathematics , field (mathematics) , cellular algebra , filtered algebra , algebra representation , monotone polygon , measure (data warehouse) , pure mathematics , computer science , geometry , database , artificial intelligence

The objective of this paper is, firstly, we study a new concept noted by algebra and discuss the properties of this concept. Secondly, we introduce a new concept related to the algebra such as smallest algebra. Thirdly, we introduce the notion of the restriction of algebra on a nonempty subset of and investigate some of its basic properties. Furthermore, we present the relationships between field, monotone class, field and algebra. Finally, we introduce the concept of measure relative to the algebra and prove that every measure relative to the is complete.

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