in this paper, we associate canonically a precyclic mod- ule to a regular multiplier hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition

The aim of this paper is to introduce the notion of commutative pseudo BE-algebras and investigate their properties.We generalize some results proved by A. Walendziak for the case of commutative BE-algebras.We prove that the class of commutative pseudo BE-algebras is equivalent to the class of commutative pseudo BCK-algebras. Based on this result, all results holding for commutative pseudo BCK-...

The connection joint of prestressed concrete pipe piles is a typical steel–concrete structure, and its bending strength has evolved into critical factor affecting the safety supporting structures in underground engineering. Based on full-scale tests five specimens large-diameter reinforced (PRC) joints, as well corresponding finite element numerical simulation, bearing deformation characteristi...

In this paper, we show that every surjective $n$-homomorphism ($n$-anti-homomorphism) from a Banach algebra $A$ into a semisimple Banach algebra $B$ is continuous.