TY - JOUR
ID - 5772
TI - On studying bi-\(\Gamma\)-algebra and some related concepts
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Abbood, Mohaimen M.
AU - Ali Al-Fayadh, Ali Al-Fayadh
AU - Ebrahim, Hassan H.
AD - Ministry of Education, General Directorate of Education in Diyala, Iraq
AD - Department of Mathematics and Computer Applications, College of Science, Al-Nahraini University, Baghdad, Iraq
AD - Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Salahaddin, Iraq
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 1565
EP - 1572
KW - algebra
KW - ( sigma)-field
KW - (sigma)-algebra
KW - (Gamma)-algebra
KW - measurable function
DO - 10.22075/ijnaa.2022.5772
N2 - The aim of this research paper is to introduce the concept of bi-\(\Gamma\)-algebra space (bi-gamma algebra space). The concept of bi-\(\mu\)-measurable set in a bi-\(\Gamma\)-algebra space is defined. With this concept, some properties of bi-\(\Gamma\)-algebra space are proved. We then define various separation axioms for bi-\(\Gamma\)-algebra space such as \(M_{0},M_{1},\ M_{2},\ M_{3},\) and \(M_{4}\); then the relationships between them are studied. In addition, the concept of measurable function between two bi-measurable spaces is introduced and some results are discussed.
UR - https://ijnaa.semnan.ac.ir/article_5772.html
L1 - https://ijnaa.semnan.ac.ir/article_5772_cb31ac7125b59a219f98eccaffbe1dd0.pdf
ER -