【摘 要】
：
In this paper, we study the structures of monomial Hopf algebras over a field of positive characteristic. A necessary and sufficient condition for the monomial
【机 构】
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Institute of Mathematics,Department of Mathematics
【基金项目】
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the Program for New Century Excellent Talents in University;the second author was supported by the National Natural Science Foundation of China;the Doctoral Foundation of the Chinese Education Ministr
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In this paper, we study the structures of monomial Hopf algebras over a field of positive characteristic. A necessary and sufficient condition for the monomial coalgebra Cd(n) to admit Hopf structures is given here, and if it is the case, all graded Hopf structures on Cd(n)are completely classified. Moreover, we construct a Hopf algebras filtration on Cd(n) which will help us to discuss a conjecture posed by Andruskiewitsch and Schneider. Finally combined with a theorem by Montgomery, we give the structure theorem for all monomial Hopf algebras.
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