@article{SD_1969-1970__23_2_A5_0, author = {Tamura, Takayuki}, title = {Commutative archimedean cancellative semigroups without idempotent}, journal = {S\'eminaire Dubreil. Alg\`ebre et th\'eorie des nombres}, note = {talk:DG 5}, pages = {DG1--DG19}, publisher = {Secr\'etariat math\'ematique}, volume = {23}, number = {2}, year = {1969-1970}, mrnumber = {286924}, zbl = {0215.40101}, language = {en}, url = {http://www.numdam.org/item/SD_1969-1970__23_2_A5_0/} }
TY - JOUR AU - Tamura, Takayuki TI - Commutative archimedean cancellative semigroups without idempotent JO - Séminaire Dubreil. Algèbre et théorie des nombres N1 - talk:DG 5 PY - 1969-1970 SP - DG1 EP - DG19 VL - 23 IS - 2 PB - Secrétariat mathématique UR - http://www.numdam.org/item/SD_1969-1970__23_2_A5_0/ LA - en ID - SD_1969-1970__23_2_A5_0 ER -
%0 Journal Article %A Tamura, Takayuki %T Commutative archimedean cancellative semigroups without idempotent %J Séminaire Dubreil. Algèbre et théorie des nombres %Z talk:DG 5 %D 1969-1970 %P DG1-DG19 %V 23 %N 2 %I Secrétariat mathématique %U http://www.numdam.org/item/SD_1969-1970__23_2_A5_0/ %G en %F SD_1969-1970__23_2_A5_0
Tamura, Takayuki. Commutative archimedean cancellative semigroups without idempotent. Séminaire Dubreil. Algèbre et théorie des nombres, Tome 23 (1969-1970) no. 2, Exposé no. DG 5, 19 p. http://www.numdam.org/item/SD_1969-1970__23_2_A5_0/
[1] On ordered semigroups [in Russian], Izvest. Akad. Nauk SSSR, Serija mat., t. 14, 1950, p. 569-576. | MR | Zbl
. -[2] Non-negative integer valued functions on commutative groups, I, Proc. Japan Acad., t. 41, 1965, p. 564-569. | MR | Zbl
, and . -[3] The structure of archimedean semigroups, Dissertation, University of California, Davis, 1966.
. -[4] On medial semigroups, J. of Algebra, t. 12, 1969, p. 1-9. | MR | Zbl
. -[5] Naturally totally ordered commutative semigroups, Amer. J. of Math., t. 76, 1954, p. 631-646. | MR | Zbl
. -[6] The algebraic theory of semigroups, Volume 1. - Providence, American mathematical Society, 1961 (Mathematical Surveys, 7). | MR | Zbl
and . -[7] The algebraic theory of semigroups, Volume 2. - Providence, American mathematical Society, 1967 (Mathematical Surveys, 7). | MR | Zbl
and . -[8] Right zero union of semigroups, Dissertation, University of California, Davis, 1970.
. -[9] Contribution à la théorie des demi-groupes. - Paris, Gauthier-Villars, 1941 (Mém. Acad. Sc. Inst. France, Série 2, t. 63, 52 p.). | JFM | MR | Zbl
. -[10] Semigroups whose lattice of congruences form a chain, Dissertation, University of California, Davis, 1970.
. -[11] Abelian groups. - Budapest, Hungarian Academy of Science, 1958. | Zbl
. -[12] Partially ordered algebraic systems. - Oxford, Pergamon Press, 1963 (International Series of Monographs in pure and applied Mathematics, 28). | Zbl
. -[13] The structure of certain commutative separative and commutative cancellative semigroups, Dissertation, Pennsylvania State University, 1969.
. -[14] Finitely generated commutative archimedean semigroups without idempotent, Dissertation, University of California, Davis, 1966.
. -[15] Representing N-semigroups, Bull. Australian math. Soc., t. 1, 1969, p. 115-125. | MR | Zbl
. -[16] A faithful canonical representation for finitely generated N-semigroups, Czech. math. J., t. 19, 1969, p. 375-379. | MR | Zbl
. -[17] Ordered semigroups [in Russian], Izvest. Akad. Nauk SSSR, Serija mat., t. 21, 1957, p. 209-222. | MR
. -[18] Die Axiome der Quantität und die Lehre vom Mass, Bericht. Verhandl. Sächs. Ges. Wiss. Leipzig, Math.-phys. Kl., t. 53, 1901, p. 1-64. | JFM
. -[19] On decomposition of a commutative semigroup, Kodai math. Sem. Rep., t. 6, 1954, p. 109-112. | MR | Zbl
and . -[20] The structure of locally cyclic semigroups and of other power joined semigroups, Dissertation, University of California, Davis, 1966.
. -[21] On commutative nonpotent archimedean semigroups, Pac. J. of Math., t. 27, 1968, p. 365-371. | MR | Zbl
. -[22] Note on commutative power joined semigroups, Pac. J. of Math. (to appear). | MR | Zbl
and . -[23] On the structure of a class of commutative semigroups, Czech. math. J., t. 14, 1964, p. 147-153. | MR | Zbl
. -[24] On the isomorphism problem of certain semigroups constructed from indexed groups, Proc. Japan Acad., t. 41, 1965, p. 763-766. | MR | Zbl
. -[25] Commutative nonpotent archimedean semigroups with cancellation law, II, Math. Japon., t. 11, 1966, p. 153-165. | MR | Zbl
. -[26] On N-semigroups, Memoirs of seminar on the algebraic theory of semigroups, Research Inst. for math. Sc., Kyoto University, 1967, p. 65- 86.
. -[27] Note on unipotent inversible semigroups, Kodai math. Sem. Rep., t. 6, 1954, p. 93-95. | MR | Zbl
. -[28] Commutative nonpotent archimedean semigroups with cancellation law, 1, J. of Gakugei, Tokushima Univ., t. 8, 1957, p. 5-11. | MR | Zbl
. -[29] Recent study of semigroups, Memoirs of seminar on the algebraic theory of semigroups, Research Inst. for math. Sc., Kyoto University, 1967, p. 1-35.
. -[30] Construction of trees and commutative archimedean semigroups, Math. Nachr., t. 36, 1968, p. 255-287. | MR | Zbl
. -[31] Abelian groups and N-semigroups, Proc. Japan Acad., t. 46, 1970, p. 212-216. | MR | Zbl
. -[32] Positive rational semigroups and commutative power joined cancellative semigroups without idempotent (to be published).
and . -[33] N-congruences on N-semigroups (to be published).
. -