Proceedings of the Japan Academy

Volume 42, Number 7

1966

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On positive irreducible operators in an arbitrary Banach lattice and a problem of H. H. SchaeferFumio Niiro and Ikuko Sawashima; 677 - 681
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The lattice of congruences of locally cyclic semigroupsTakayuki Tamura and Wallace Etterbeek; 682 - 684
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Another proof of two decomposition theorems of semigroupsTakayuki Tamura and J. Shafer; 685 - 687
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Semigroups connected with equivalence and congruence relationsTakayuki Tamura and Robert Dickinson; 688 - 692
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Algebraic proof of the separation theorem on Dummett's $\mathrm{LC}$Tsutomu Hosoi; 693 - 695
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On the existence of prime numbers in arithmetic progressionsZen'ichirô Koshiba and Saburô Uchiyama; 696 - 701
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On $J$-groups of spaces which are like projective planesSeiya Sasao; 702 - 704
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On the existence of discontinuous solutions of the Cauchy problem for quasi-linear first-order equationsKiyofumi Kojima; 705 - 709
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An extension of a generalized measureMasahiro Takahashi; 710 - 713
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On $P^ *$ spaces and equicontinuityJunzo Wada; 714 - 718
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Transformation of branching Markov processesNobuyuki Ikeda, Masao Nagasawa, and Shinzo Watanabe; 719 - 724
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Boundary value problems for the Helmholtz equations, I. The case of coaxial circular arcsYoshio Hayashi; 725 - 730
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Boundary value problems for the Helmholtz equations, II. The case of parallel lines with openingsYoshio Hayashi; 731 - 736
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An integral of the Denjoy type, IIYôto Kubota; 737 - 742
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Some applications of the functional-representations of normal operators in Hilbert spaces, XXIISakuji Inoue; 743 - 748
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Some applications of the functional-representations of normal operators in Hilbert spaces, XXIIISakuji Inoue; 749 - 754
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A perturbation theorem for contraction semi-groupsIsao Miyadera; 755 - 758
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On characterizations of $I$-algebra, IIShôtarô Tanaka; 759 - 760
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Some three valued logics and its algebraic representationsKiyoshi Iséki; 761 - 762
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A pentavalued logic and its algebraic theoryKiyoshi Iséki and Shôtarô Tanaka; 763 - 764
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