Group Theory (Lecture notes)
الباحثونHayder Abbas Janabi
المجلةBUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS
مختصر البحثLecture notes for MSc (Mathematics, Physics, etc) students, to the subject Group Theory.
Subgroups of arbitrary even ordinary depth
الباحثونHayder Abbas Janabi، Thomas Breuer, Erzsebet Horvath
المجلةSubmitted in arXiv.org
مختصر البحثWe 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.
On a Fuzzy Completely Closed Ideal of a BH-algebra
الباحثونHusein Hadi Abbass، Hayder Abbas Janabi
المجلةBasrah Journal of Science
مختصر البحثIn 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.
On a Sub Branch of Element Related to an Element in a(BCC, gBCK)-algebras
الباحثونAssist.prof. Husein Hadi Abbass، Assist. Lec. Hayder Abbas Janabi
Assist. Lec. Mohsin shaalan Abdulhussein
المجلةMathematical Theory and Modeling
مختصر البحث 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
A Completely Closed Ideal of a BG- algebra
الباحثونHusein Hadi Abbass، Hayder Abbas Janabi
المجلةScholars' Press
مختصر البحثIn 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.
On a sub branch of element in a BE-algebra
الباحثونHayder Abbas Janabi
المجلةJournal of Kerbala University
مختصر البحثIn 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.
