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J . M A T H . K Y O T O . U N I V .

VOL. 45, NO. 2 ( 2 0 0 5 )

CONTENTS

On extensions of projective indecomposable modules

By Masafumi MURAI 221 A note on automorphisms of prime and semiprime rings

By Asif ALI and Muhammad YASEN 243 On the squarefree and squarefull numbers

By Huaning LIU and Wenpeng ZHANG 247 The ideal boundary of the Sol group

By Sungwoon KIM 257 The Lax—Phillips scattering approach and singular perturbations of Schrodinger operator homogeneous with respect to scaling transfor- mations

By Sergei KUZHEL and Uliya MOSKALYOVA 265 Homological invariants associated to semi-dualizing bimodules

By Tokuji ARAYA, Ryo TAKAHASHI and Yuji YOSHINO 287 Construction of diffusion processes on fractals, d-sets, and general met- ric measure spaces

By Takashi KUMAGAI and Karl-Theodor STURM 307 Existence of solutions to initial value problems for the second order mixed monotone type of impulsive differential inclusions

By Shihuang HONG 329 Degeneration of hyperbolic structures on the figure-eight knot com- plement and points of finite order on an elliptic curve

By Michihiko FUJII 343

Positive definite class functions on a topological group and characters of factor representations

By Takeshi HIRAI and Etsuko HIRAI 355 On the plurisubharmonicity of the leafwise Poincare metric on projec- tive manifolds

By Marco BRUNELLA 381 Sharp lower bound for the lifespan of systems of semilinear wave equa- tions with multiple speeds

By Soichiro KATAYAMA and Akitaka MATSUMURA 391 On the separation of cohomology groups of increasing unions of (1,1) convex-concave manifolds

By Mihnea COLTOIU 405 Samelson products in the exceptional Lie group of rank 2

By Hideaki OSHIMA 411 Boundary identity principle for pseudo-holomorphic curves

By Seong-Gi AHN 421 Correction to "Semihyperbolic transcendental semigroups"

(This Journal Vol. 40, No. 2, 2000, 205-216)

By Hartje K R I E T E and Hiroki SUMI 427

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