Open AccessBS-algebra and Pseudo Z-algebra
Author(s) -
Adel Hashem Nouri,
Layth Salah Mahdi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1963/1/012163
Subject(s) - subalgebra , algebra over a field , mathematics , cellular algebra , filtered algebra , algebra representation , division algebra , pure mathematics
This paper introduces a new notion of algebra called BS-algebra and some of its properties are discussed in detail. Also, we define a S(a,b) of BS-algebra and discus of properties and theorems of it. Some of theorems of a new ideals of BS-algebra are introduced and proved. Also, we introduced some new types of ideals of Z-algebra and we linked these ideals with some theorems and properties. Also, we define the concept of pseudo Z-algebra and introduced some examples and new concepts in it, including the concept of pseudo b-subalgebra and introduced some theorems and properties in this new concepts.