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.
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