Some Types of Ideals of Pseudo BH-algebra

ISBN-13: 9786138827269 / Angielski / Miękka / 2019 / 140 str.

Husein Hadi Abbass;Adel Hashem Nouri

Opis

In this book, some types of pseudo BH-algebra and pseudo ideals of pseudo BH-algebra (pseudo P-ideal, pseudo q-ideal, pseudo a-ideal, pseudo multiplicative ideal, pseudo positive implicative ideal, pseudo completely closed ideal are given. This book consists of three chapters, chapter one deals with some basic concepts of BCK-algebra, BCI-algebra, BCH-algebra, BH-algebra, (subalgebra, associative, normal, regular, implicative, positive implicative, essence and ideal of BH-algebra) with some propositions, theorems and examples. Chapter two is devoted to study some types of pseudo BH-algebra, pseudo ideal, pseudo closed ideal, pseudo completely closed ideal, pseudo P-ideal, pseudo q-ideal, pseudo a-ideal, pseudo implicative ideal, pseudo positive implicative ideal, pseudo sub- implicative ideal pseudo BH-algebra and pseudo essence BH-algebra, some theorems, propositions and examples are given to describe the properties of these notions among, in chapter three the relationships among pseudo ideals. Also, the notion of pseudo BH-homomorphism is introduced.

O autorze

Abbass, Husein Hadi
Prof. Husein Hadi Abbass is the Dean Assistant post for Scientific Affairs in the Faculty of Computer Science and Mathematics University of Kufa - Iraq. He obtained Master's degree in applied mathematics from the Technology University in Iraq in 1995. He has publications in Algebra, MV-algebra, Image Processing, Algebraic Statistics, Fuzzy maths.