Commutative archimedean cancellative semigroups without idempotent

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1. [1] Alimov ( N.G. ) . - On ordered semigroups [in Russian], Izvest. Akad. Nauk SSSR, Serija mat., t. 14, 1950, p. 569-576. Zbl0039.01601MR38990
2. [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. Zbl0143.26103MR194511
3. [3] Chrislock ( J.L.). - The structure of archimedean semigroups, Dissertation, University of California, Davis, 1966. 
4. [4] Chrislock ( J.L.). - On medial semigroups, J. of Algebra, t. 12, 1969, p. 1-9. Zbl0187.29102MR237685
5. [5] Clifford ( A.H.). - Naturally totally ordered commutative semigroups, Amer. J. of Math., t. 76, 1954, p. 631-646. Zbl0055.01503MR62118
6. [6] Clifford ( A.H.) and Preston ( G.B.). - The algebraic theory of semigroups, Volume 1. - Providence, American mathematical Society, 1961 (Mathematical Surveys, 7). Zbl0111.03403MR132791
7. [7] Clifford ( A.H.) and Preston ( G.B. ) . - The algebraic theory of semigroups, Volume 2. - Providence, American mathematical Society, 1967 (Mathematical Surveys, 7). Zbl0178.01203MR218472
8. [8] Dickinson ( R.P.). - Right zero union of semigroups, Dissertation, University of California, Davis, 1970. 
9. [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.). Zbl0026.19605MR16424JFM67.0080.02
10. [10] Etterbeek ( W.A. ) . - Semigroups whose lattice of congruences form a chain, Dissertation, University of California, Davis, 1970. 
11. [11] Fuchs ( Laszló). - Abelian groups. - Budapest, Hungarian Academy of Science, 1958. Zbl0091.02704
12. [12] Fuchs ( Laszló). - Partially ordered algebraic systems. - Oxford, Pergamon Press, 1963 (International Series of Monographs in pure and applied Mathematics, 28). Zbl0137.02001
13. [13] Hall ( R.E.). - The structure of certain commutative separative and commutative cancellative semigroups, Dissertation, Pennsylvania State University, 1969. 
14. [14] Higgins ( John C.). - Finitely generated commutative archimedean semigroups without idempotent, Dissertation, University of California, Davis, 1966. 
15. [15] Higgins ( John C. ) . - Representing N-semigroups, Bull. Australian math. Soc., t. 1, 1969, p. 115-125. Zbl0169.33302MR248252
16. [16] Higgins ( John C. ) . - A faithful canonical representation for finitely generated N-semigroups, Czech. math. J., t. 19, 1969, p. 375-379. Zbl0183.30602MR248251
17. [17] Hion [KHION] ( Ja.V.). - Ordered semigroups [in Russian], Izvest. Akad. Nauk SSSR, Serija mat., t. 21, 1957, p. 209-222. MR88501
18. [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. Zbl32.0079.01JFM32.0079.01
19. [19] Kimura ( Naoki) and Tamura ( Takayuki). - On decomposition of a commutative semigroup, Kodai math. Sem. Rep., t. 6, 1954, p. 109-112. Zbl0058.01503MR67106
20. [20] Levin ( Richard G.). - The structure of locally cyclic semigroups and of other power joined semigroups, Dissertation, University of California, Davis, 1966. 
21. [21] Levin ( Richard G.). - On commutative nonpotent archimedean semigroups, Pac. J. of Math., t. 27, 1968, p. 365-371. Zbl0182.34802MR236286
22. [22] Levin ( R.G.) and Tamura ( T.). - Note on commutative power joined semigroups, Pac. J. of Math. (to appear). Zbl0215.40003MR277633
23. [23] Petrich ( Mario). - On the structure of a class of commutative semigroups, Czech. math. J., t. 14, 1964, p. 147-153. Zbl0143.03403MR166284
24. [24] Sasaki ( Morio). - On the isomorphism problem of certain semigroups constructed from indexed groups, Proc. Japan Acad., t. 41, 1965, p. 763-766. Zbl0145.02203MR197604
25. [25] Sasaki ( Morio). - Commutative nonpotent archimedean semigroups with cancellation law, II, Math. Japon., t. 11, 1966, p. 153-165. Zbl0154.01802MR215762
26. [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. [27] Tamura ( Takayuki). - Note on unipotent inversible semigroups, Kodai math. Sem. Rep., t. 6, 1954, p. 93-95. Zbl0058.01502MR65554
28. [28] Tamura ( Takayuki). - Commutative nonpotent archimedean semigroups with cancellation law, 1, J. of Gakugei, Tokushima Univ., t. 8, 1957, p. 5-11. Zbl0079.25103MR96741
29. [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. [30] Tamura ( Takayuki). - Construction of trees and commutative archimedean semigroups, Math. Nachr., t. 36, 1968, p. 255-287. Zbl0155.04201MR230662
31. [31] Tamura ( Takayuki). - Abelian groups and N-semigroups, Proc. Japan Acad., t. 46, 1970, p. 212-216. Zbl0206.31203MR274618
32. [32] Tamura ( T.) and Sasaki ( M.). - Positive rational semigroups and commutative power joined cancellative semigroups without idempotent (to be published). Zbl0238.20083
33. [33] Tamura ( Takayuki). - N-congruences on N-semigroups (to be published).