论文标题
乘数与忠实积分
Multiplier Hopf coquasigroups with faithful integrals
论文作者
论文摘要
令$ a $为乘数Hopf Coquasigroup。如果忠实的积分存在，那么它们是独特的标量。此外，如果$ a $是离散类型的，那么其积分duality $ \ wideHat {a} $是hopf quasigroup，而双重性$ \ wideHat {\ wideHat {\ wideHat {a}} $是原始$ a $ a $ as Muthipliper hopf coququasigopups in Insiration $ a $ a insomorphic。这种双重性定理还为一类带有忠实积分的霍普夫准群落提供。
Let $A$ be a multiplier Hopf coquasigroup. If the faithful integrals exist, then they are unique up to scalar. Furthermore, if $A$ is of discrete type, then its integral duality $\widehat{A}$ is a Hopf quasigroup, and the biduality $\widehat{\widehat{A}}$ is isomorphic to the original $A$ as multiplier Hopf coquasigroups. This biduality theorem also holds for a class of Hopf quasigroups with faithful integrals.
