By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Ree...By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Rees factor) acts.展开更多
In Ref. [1], O. Martz investigated the relation between the character degrees and the p-rank in a p-solvable group. In Ref. [2], Y. Q. Wang investigated the relation between the Brauer character degrees and the p-rank...In Ref. [1], O. Martz investigated the relation between the character degrees and the p-rank in a p-solvable group. In Ref. [2], Y. Q. Wang investigated the relation between the Brauer character degrees and the p-rank in a p-solvable group. Correspondingly, D. Chillag and M. Herzog investigated the relation between the conjugacy class lengths and the p-rank in a solvable group. In this note, we improve the展开更多
The authors discuss the W1,p-solutions and the interior regularity of weak solutions for the Keldys-Fichera boundary value problem using the acute angle principle,the reversed Hlder inequality and the generalized poin...The authors discuss the W1,p-solutions and the interior regularity of weak solutions for the Keldys-Fichera boundary value problem using the acute angle principle,the reversed Hlder inequality and the generalized poincar'e inequalities.展开更多
文摘By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Rees factor) acts.
文摘In Ref. [1], O. Martz investigated the relation between the character degrees and the p-rank in a p-solvable group. In Ref. [2], Y. Q. Wang investigated the relation between the Brauer character degrees and the p-rank in a p-solvable group. Correspondingly, D. Chillag and M. Herzog investigated the relation between the conjugacy class lengths and the p-rank in a solvable group. In this note, we improve the
基金supported by the National Natural Science Foundation of China(No.10971148)
文摘The authors discuss the W1,p-solutions and the interior regularity of weak solutions for the Keldys-Fichera boundary value problem using the acute angle principle,the reversed Hlder inequality and the generalized poincar'e inequalities.
