Group Theory (Lecture notes)
Lecture notes for MSc (Mathematics, Physics, etc) students, to the subject Group Theory.
I am currently a Lecturer at the University of Kufa. My main research interest is finite group and logical algebras.
PhD in Mathematics/ BME University, Hungary (2017-2022).
Master in Mathematics - Algebra / Kufa University College of Education for Girls (2010-2012).
Bachelor in Mathematics / Kufa University - college of Science (2002-2006).
Deputy of head of Basic Science department.
The Secretary of the Faculty Council.
Administrator of computer unit and internet.
Lecturer in the college of Dentistry.
Lecturer in Budapest University of Technology and Economics/ Department of Algebra (2019 – To now)
Lecturer in University of Kufa/ College of Education/ Department of Mathematics(2022-2023)
Lecturer in University of Kufa/ College of Education for girls/ Department of Mathematics(2023-2024)
Lecturer in University of Kufa/ College of Computer Sciences and Mathematics/ Department of Mathematics(2024-2025)
Lecture notes for MSc (Mathematics, Physics, etc) students, to the subject Group Theory.
We show that for each positive integer n, there are a group G and a subgroup H such that the ordinary depth is d(H, G) = 2n. This answers the question posed by Lars Kadison whether even ordinary depth larger than 6 can occur.
In this paper, we introduce the notion of a fuzzy completely closed ideal of a BH-algebra and study this notion on a BG-algebra. Also We stated and prove some theorems which determine the relationships between this notion and some types of fuzzy ideals of a BH-algebra.
In this paper, we introduce a new notion that we call a sub branch of an element (a) related to an element (b), denoted by S(a)b in a BCC-algebra and gBCK-algebra, and we link this notion with another notions of BCC- algebra and gBCK-algebra. We give some properties of S(a)b in a (BCC, gBCK)-algebras
In this book we introduce the concepts of a completely closed ideal of a BH-algebra, a completely closed ideal with respect to an element of a BH-algebra, a completely closed filter, a completely closed filter of a BH-algebra and a closed filter with respect to an element of a BH-algebra. We prove many relations and theorems among these notions and some other types of ideals and filters of a BH-algebra. On the other hand, in fuzzy sense, we define the concepts of a fuzzy completely closed ideal, a fuzzy completely closed filter, a fuzzy completely closed ideal with respect to an element of a BH-algebra and a fuzzy closed filter with respect to an element of a BH-algebra. Also we study all these new notions in ordinary and fuzzy senses when BH-algebra is a BG-algebra.
In this paper, we introduce a new notion that we call a sub branch of element R(a) in a BEalgebra, and we link this notion with notions filter and ideal of BE- algebra, We give some properties of R(a) and we study properties of R(a) in implication algebra, self distributive BEalgebra and transitive BE-algebra.
In this paper, we introduce the notions of a closed filter with respect to an element of a BH-algebra and a completely closed filter with respect to an element of a BH-algebra and study these notions on a BG-algebra. Also We stated and prove some theorems which determine the relationship between these notions and some types of ideals of a BH-algebra.
In this paper, we introduce the notions of a completely closed ideal and a completely closed ideal with respect to an element of a BH-algebra .Also we study these notions on a BGalgebra and B-algebra, We stated and proved some theorems which determine the relationship between these notions and some other types of ideals of a BH-algebra and a BG-algebra.
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