Generators in the category of S-posets

Valdis Laan

Open Mathematics (2008)

  • Volume: 6, Issue: 3, page 357-363
  • ISSN: 2391-5455

Abstract

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The paper contains characterizations of generators and cyclic projective generators in the category of ordered right acts over an ordered monoid.

How to cite

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Valdis Laan. "Generators in the category of S-posets." Open Mathematics 6.3 (2008): 357-363. <http://eudml.org/doc/269321>.

@article{ValdisLaan2008,
abstract = {The paper contains characterizations of generators and cyclic projective generators in the category of ordered right acts over an ordered monoid.},
author = {Valdis Laan},
journal = {Open Mathematics},
keywords = {S-poset; generator; cyclic projective generator; ordered right act over an ordered monoid},
language = {eng},
number = {3},
pages = {357-363},
title = {Generators in the category of S-posets},
url = {http://eudml.org/doc/269321},
volume = {6},
year = {2008},
}

TY - JOUR
AU - Valdis Laan
TI - Generators in the category of S-posets
JO - Open Mathematics
PY - 2008
VL - 6
IS - 3
SP - 357
EP - 363
AB - The paper contains characterizations of generators and cyclic projective generators in the category of ordered right acts over an ordered monoid.
LA - eng
KW - S-poset; generator; cyclic projective generator; ordered right act over an ordered monoid
UR - http://eudml.org/doc/269321
ER -

References

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  1. [1] Anderson F., Fuller K., Rings and categories of modules, Springer-Verlag, New York-Heidelberg, 1974 Zbl0301.16001
  2. [2] Bulman-Fleming S., Mahmoudi M., The category of S-posets, Semigroup Forum, 2005, 71, 443–461 http://dx.doi.org/10.1007/s00233-005-0540-y Zbl1095.20047
  3. [3] Kilp M., Knauer U., Mikhalev A., Monoids acts and categories, Walter de Gruyter, Berlin, 2000 Zbl0945.20036
  4. [4] Shi X., Liu Z., Wang F., Bulman-Fleming S., Indecomposable projective and flat S-posets, Comm. Algebra, 2005, 33, 235–251 http://dx.doi.org/10.1081/AGB-200040992 Zbl1080.20058

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