Semigroups for which every totally irreducible S -system is injective

John K. Luedeman; Frederick R. McMorris; Soon Kiong Sim

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 1, page 27-35
  • ISSN: 0010-2628

How to cite

top

Luedeman, John K., McMorris, Frederick R., and Sim, Soon Kiong. "Semigroups for which every totally irreducible $S$-system is injective." Commentationes Mathematicae Universitatis Carolinae 019.1 (1978): 27-35. <http://eudml.org/doc/16878>.

@article{Luedeman1978,
author = {Luedeman, John K., McMorris, Frederick R., Sim, Soon Kiong},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {27-35},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Semigroups for which every totally irreducible $S$-system is injective},
url = {http://eudml.org/doc/16878},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Luedeman, John K.
AU - McMorris, Frederick R.
AU - Sim, Soon Kiong
TI - Semigroups for which every totally irreducible $S$-system is injective
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 1
SP - 27
EP - 35
LA - eng
UR - http://eudml.org/doc/16878
ER -

References

top
  1. P. BERTHIAUME, The infective envelope of S -sets, Canad. Math. Bull. 10 (1967), 261-273. (1967) MR0213457
  2. E. H. FELLER R. L. GANTOS, Completely infective semigroups, Pacific J. Math. 31 (1969), 359-366. (1969) MR0257253
  3. J. B. FOUNTAIN, Completely right infective semigroups, Proc. London Math. Soc. 28(1974), 28-44. (1974) MR0330327
  4. H.-J. HOEHNKE, Structure of semigroups, Canad J. Math. 18 (1966), 449-491. (1966) Zbl0149.02402MR0197597
  5. C. S. JOHNSON, Jr. F. R. McMORRIS, Completely cyclic injective semilattices, Proc. Amer. Math. Soc. 36 (1972), 385-388. (1972) MR0310111
  6. S. LAJOS, On semigroups which are semilattices of groups, Acta Sci. Math. 30 (1969), 133-135. (1969) Zbl0174.30701MR0246989
  7. G. O. MICHLER O. E. VILLAMAYOR, On rings whose simple modules are injective, J. Alg. 25 (1973), 185-201. (1973) MR0316505
  8. R. MING, On (von Neumann) regular rings, Proc. Edinburgh Math. Soc. 19 (1974), 89-91. (1974) MR0342553
  9. R. H. OEHMKE, On maximal congruences and finite semisimple semigroups, Trans. Amer. Math. Soc. 125 (1966), 223-237. (1966) Zbl0158.02101MR0202880
  10. M. PETRICH, Introduction to Semigroups, C. Merrill, Publ., Columbus, Ohio, 1973. (1973) Zbl0321.20037MR0393206
  11. B. M. SCHEIN, Infective S -acts over inverse semigroups, Notices Amer. Math. Soc., Nov. 23 (1976), A-640. (1976) 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.