On 0-homology of categorical at zero semigroups

 Access to full text

 Full (PDF)

1. [1] Adyan S.I., Defining relations and algorithmical problems for groups and semigroups, Tr. Mat. Inst. Steklova, 1966, 85 (in Russian) Zbl0204.01702
2. [2] Cartan H., Eilenberg S., Homological algebra, Princeton University Press, Princeton, N.J., 1956 
3. [3] Clifford A.H., Preston G.B., The algebraic theory of semigroups II, Mathematical Surveys, No. 7, American Mathematical Society, Providence, 1967 
4. [4] Dehornoy P., Lafont Yv., Homology of Gaussian groups, Ann. Inst. Fourier, 2003, 53(2), 489–540 Zbl1100.20036
5. [5] Husainov A.A., On the homology of small categories and asynchronous transition systems, Homology Homotopy Appl., 2004, 6(1), 439–471 Zbl1078.18005
6. [6] Husainov A.A., Tkachenko V.V., Asynchronous transition systems homology groups, In: Mathematical modeling and the near questions of mathematics. Collection of the scientifcs works, KhGPU, Khabarovsk, 2003, 23–33 
7. [7] Kobayashi Yu., Complete rewriting systems and homology of monoid algebras, J. Pure Appl. Algebra, 1990, 65, 263–275 http://dx.doi.org/10.1016/0022-4049(90)90106-R[Crossref] 
8. [8] MacLane S., Categories for the working mathematician, Springer-Verlag, New York-Heidelberg-Berlin, 1972 Zbl0705.18001
9. [9] Novikov B.V., 0-cohomology of semigroups, In: Theoretical and applied questions of differential equations and algebra, Naukova Dumka, Kiev, 1978, 185–188 (in Russian) 
10. [10] Novikov B.V., Defining relations and 0-modules over semigroup, Theory of semigroups and its applications, Saratov. Gos. Univ., Saratov, 1983, 116, 94–99 (in Russian) Zbl0543.20052
11. [11] Novikov B.V., Semigroup cohomology and applications, Algebra - representation theory (Constanta, 2000), 219–234, NATO Sci. Ser. II Math. Phys. Chem., 28, Kluwer Acad. Publ., Dordrecht, 2001 Zbl0994.20049
12. [12] Polyakova L.Yu., On 0-homology of semigroups, preprint Zbl1164.20370
13. [13] Squier C., Word problem and a homological finiteness condition for monoids, J. Pure Appl. Algebra, 1987, 49, 201–217 http://dx.doi.org/10.1016/0022-4049(87)90129-0[Crossref]