Characterizing pomonoids s by complete s-posets
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 4, article no. 2, 10 p.
@article{CTGDC_2010__51_4_272_0,
     author = {Ebrahimi, M.M. and Mahmoudi, M. and Rasouli, H.},
     title = {Characterizing pomonoids s by complete s-posets},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     eid = {2},
     pages = {272--281},
     publisher = {Andr\'ee CHARLES EHRESMANN},
     volume = {51},
     number = {4},
     year = {2010},
     mrnumber = {2778310},
     zbl = {1227.06013},
     language = {en},
     url = {http://archive.numdam.org/item/CTGDC_2010__51_4_272_0/}
}
TY  - JOUR
AU  - Ebrahimi, M.M.
AU  - Mahmoudi, M.
AU  - Rasouli, H.
TI  - Characterizing pomonoids s by complete s-posets
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 2010
SP  - 272
EP  - 281
VL  - 51
IS  - 4
PB  - Andrée CHARLES EHRESMANN
UR  - http://archive.numdam.org/item/CTGDC_2010__51_4_272_0/
LA  - en
ID  - CTGDC_2010__51_4_272_0
ER  - 
%0 Journal Article
%A Ebrahimi, M.M.
%A Mahmoudi, M.
%A Rasouli, H.
%T Characterizing pomonoids s by complete s-posets
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 2010
%P 272-281
%V 51
%N 4
%I Andrée CHARLES EHRESMANN
%U http://archive.numdam.org/item/CTGDC_2010__51_4_272_0/
%G en
%F CTGDC_2010__51_4_272_0
Ebrahimi, M.M.; Mahmoudi, M.; Rasouli, H. Characterizing pomonoids s by complete s-posets. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 4, article  no. 2, 10 p. http://archive.numdam.org/item/CTGDC_2010__51_4_272_0/

[1] Birkhoff, G., "Lattice Theory", American Mathematical Society, Providence, Rhode Island, 1973. | Zbl

[2] Bulman-Fleming, S., Subpullback flat S-posets need not be subequlizer flat, Semigroup Forum, 78(1) (2009), 27-33. | MR | Zbl

[3] Bulman-Fleming, S., D. Gutermuth, A. Gilmour and M. Kilp, Flatness properties of S-posets, Comm. Alg. 34 (2006), 1291-1317. | MR | Zbl

[4] Bulman-Fleming, S. and V. Laan, Lazard's theorem for S-posets, Math. Nachr. 278(15) (2005), 1743-1755. | MR | Zbl

[5] Bulman-Fleming, S. and M. Mahmoudi, The category of S-posets, Semi-group Forum 71(3) (2005), 443-461. | MR | Zbl

[6] Blyth, T.S. and M.F. Janowitz, "Residuation Theory", Pergamon Press, Oxford, 1972. | MR | Zbl

[7] Ebrahimi, M.M. and M. Mahmoudi, The category of M-sets, Ital. J. Pure Appl. Math. 9 (2001), 123-132. | MR | Zbl

[8] Ebrahimi, M.M., M. Mahmoudi, H. Rasouli, Banaschewski's Theorem for S-posets: Regular injectivity and Completeness, Semigroup Forum (to appear). | MR | Zbl

[9] Fakhruddin, S. M., On the category of S-posets, Acta Sci. Math. (Szeged) 52 (1988), 85-92. | MR | Zbl

[10] Kilp, M., U. Knauer, A. Mikhalev, "Monoids, Acts and Categories", Walter de Gruyter, Berlin, New York, 2000. | MR

[11] Skornjakov, L.A., On the injectivity of ordered left acts over monoids, Vestnik Moskov. univ. Ser. I Math. Mekh. (1986), 17-19 (in Russian). | MR

[12] Zhang, X. and V. Laan, On homological classification of pomonoids by regular weak injectivity properties of S-posets, Central European Journal of Mathematics 5(1) (2007), 181-200. | EuDML | MR | Zbl