@article {
author = {Abbood, Mohaimen and Ali Al-Fayadh, Ali Al-Fayadh and Ebrahim, Hassan},
title = {On studying bi-\(\Gamma\)-algebra and some related concepts},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {13},
number = {1},
pages = {1565-1572},
year = {2022},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2022.5772},
abstract = {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.},
keywords = {algebra,( sigma)-field,(sigma)-algebra,(Gamma)-algebra,measurable function},
url = {https://ijnaa.semnan.ac.ir/article_5772.html},
eprint = {https://ijnaa.semnan.ac.ir/article_5772_cb31ac7125b59a219f98eccaffbe1dd0.pdf}
}