Commutative archimedean cancellative semigroups without idempotent
Séminaire Dubreil. Algèbre et théorie des nombres, Volume 23 (1969-1970) no. 2, Talk no. DG 5, 19 p.
@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},
     publisher = {Secr\'etariat math\'ematique},
     volume = {23},
     number = {2},
     year = {1969-1970},
     note = {talk:DG 5},
     zbl = {0215.40101},
     mrnumber = {286924},
     language = {en},
     url = {http://www.numdam.org/item/SD_1969-1970__23_2_A5_0}
}
Tamura, Takayuki. Commutative archimedean cancellative semigroups without idempotent. Séminaire Dubreil. Algèbre et théorie des nombres, Volume 23 (1969-1970) no. 2, Talk no. DG 5, 19 p. http://www.numdam.org/item/SD_1969-1970__23_2_A5_0/

[1] Alimov (N.G. ) . - On ordered semigroups [in Russian], Izvest. Akad. Nauk SSSR, Serija mat., t. 14, 1950, p. 569-576. | MR 38990 | Zbl 0039.01601

[2] Biggs (R.), Sasaki (M.) and Tamura (T.). - Non-negative integer valued functions on commutative groups, I, Proc. Japan Acad., t. 41, 1965, p. 564-569. | MR 194511 | Zbl 0143.26103

[3] Chrislock (J.L.). - The structure of archimedean semigroups, Dissertation, University of California, Davis, 1966.

[4] Chrislock (J.L.). - On medial semigroups, J. of Algebra, t. 12, 1969, p. 1-9. | MR 237685 | Zbl 0187.29102

[5] Clifford (A.H.). - Naturally totally ordered commutative semigroups, Amer. J. of Math., t. 76, 1954, p. 631-646. | MR 62118 | Zbl 0055.01503

[6] Clifford (A.H.) and Preston (G.B.). - The algebraic theory of semigroups, Volume 1. - Providence, American mathematical Society, 1961 (Mathematical Surveys, 7). | MR 132791 | Zbl 0111.03403

[7] Clifford (A.H.) and Preston (G.B. ) . - The algebraic theory of semigroups, Volume 2. - Providence, American mathematical Society, 1967 (Mathematical Surveys, 7). | MR 218472 | Zbl 0178.01203

[8] Dickinson (R.P.). - Right zero union of semigroups, Dissertation, University of California, Davis, 1970.

[9] Dubreil (Paul). - Contribution à la théorie des demi-groupes. - Paris, Gauthier-Villars, 1941 (Mém. Acad. Sc. Inst. France, Série 2, t. 63, 52 p.). | JFM 67.0080.02 | MR 16424 | Zbl 0026.19605

[10] Etterbeek (W.A. ) . - Semigroups whose lattice of congruences form a chain, Dissertation, University of California, Davis, 1970.

[11] Fuchs (Laszló). - Abelian groups. - Budapest, Hungarian Academy of Science, 1958. | Zbl 0091.02704

[12] Fuchs (Laszló). - Partially ordered algebraic systems. - Oxford, Pergamon Press, 1963 (International Series of Monographs in pure and applied Mathematics, 28). | Zbl 0137.02001

[13] Hall (R.E.). - The structure of certain commutative separative and commutative cancellative semigroups, Dissertation, Pennsylvania State University, 1969.

[14] Higgins (John C.). - Finitely generated commutative archimedean semigroups without idempotent, Dissertation, University of California, Davis, 1966.

[15] Higgins (John C. ) . - Representing N-semigroups, Bull. Australian math. Soc., t. 1, 1969, p. 115-125. | MR 248252 | Zbl 0169.33302

[16] Higgins (John C. ) . - A faithful canonical representation for finitely generated N-semigroups, Czech. math. J., t. 19, 1969, p. 375-379. | MR 248251 | Zbl 0183.30602

[17] Hion [Khion] (Ja.V.). - Ordered semigroups [in Russian], Izvest. Akad. Nauk SSSR, Serija mat., t. 21, 1957, p. 209-222. | MR 88501

[18] Hölder (O. ) . - 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 32.0079.01

[19] Kimura (Naoki) and Tamura (Takayuki). - On decomposition of a commutative semigroup, Kodai math. Sem. Rep., t. 6, 1954, p. 109-112. | MR 67106 | Zbl 0058.01503

[20] Levin (Richard G.). - The structure of locally cyclic semigroups and of other power joined semigroups, Dissertation, University of California, Davis, 1966.

[21] Levin (Richard G.). - On commutative nonpotent archimedean semigroups, Pac. J. of Math., t. 27, 1968, p. 365-371. | MR 236286 | Zbl 0182.34802

[22] Levin (R.G.) and Tamura (T.). - Note on commutative power joined semigroups, Pac. J. of Math. (to appear). | MR 277633 | Zbl 0215.40003

[23] Petrich (Mario). - On the structure of a class of commutative semigroups, Czech. math. J., t. 14, 1964, p. 147-153. | MR 166284 | Zbl 0143.03403

[24] Sasaki (Morio). - On the isomorphism problem of certain semigroups constructed from indexed groups, Proc. Japan Acad., t. 41, 1965, p. 763-766. | MR 197604 | Zbl 0145.02203

[25] Sasaki (Morio). - Commutative nonpotent archimedean semigroups with cancellation law, II, Math. Japon., t. 11, 1966, p. 153-165. | MR 215762 | Zbl 0154.01802

[26] Sasaki (Morio). - On N-semigroups, Memoirs of seminar on the algebraic theory of semigroups, Research Inst. for math. Sc., Kyoto University, 1967, p. 65- 86.

[27] Tamura (Takayuki). - Note on unipotent inversible semigroups, Kodai math. Sem. Rep., t. 6, 1954, p. 93-95. | MR 65554 | Zbl 0058.01502

[28] Tamura (Takayuki). - Commutative nonpotent archimedean semigroups with cancellation law, 1, J. of Gakugei, Tokushima Univ., t. 8, 1957, p. 5-11. | MR 96741 | Zbl 0079.25103

[29] Tamura (Takayuki). - 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] Tamura (Takayuki). - Construction of trees and commutative archimedean semigroups, Math. Nachr., t. 36, 1968, p. 255-287. | MR 230662 | Zbl 0155.04201

[31] Tamura (Takayuki). - Abelian groups and N-semigroups, Proc. Japan Acad., t. 46, 1970, p. 212-216. | MR 274618 | Zbl 0206.31203

[32] Tamura (T.) and Sasaki (M.). - Positive rational semigroups and commutative power joined cancellative semigroups without idempotent (to be published).

[33] Tamura (Takayuki). - N-congruences on N-semigroups (to be published).