On the embedding of ordered semigroups into ordered group
Czechoslovak Mathematical Journal (2004)
- Volume: 54, Issue: 2, page 303-313
- ISSN: 0011-4642
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topIbrahim, Mohammed Ali Faya. "On the embedding of ordered semigroups into ordered group." Czechoslovak Mathematical Journal 54.2 (2004): 303-313. <http://eudml.org/doc/30861>.
@article{Ibrahim2004,
abstract = {It was shown in [7] that any right reversible, cancellative ordered semigroup can be embedded into an ordered group and as a consequence, it was shown that a commutative ordered semigroup can be embedded into an ordered group if and only if it is cancellative. In this paper we introduce the concept of $L$-maher and $R$-maher semigroups and use a technique similar to that used in [7] to show that any left reversible cancellative ordered $L$ or $R$-maher semigroup can be embedded into an ordered group.},
author = {Ibrahim, Mohammed Ali Faya},
journal = {Czechoslovak Mathematical Journal},
keywords = {semicommutative semigroups; maher semigroups; ordered semigroups; semicommutative semigroups; Maher semigroups; ordered semigroups},
language = {eng},
number = {2},
pages = {303-313},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the embedding of ordered semigroups into ordered group},
url = {http://eudml.org/doc/30861},
volume = {54},
year = {2004},
}
TY - JOUR
AU - Ibrahim, Mohammed Ali Faya
TI - On the embedding of ordered semigroups into ordered group
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 2
SP - 303
EP - 313
AB - It was shown in [7] that any right reversible, cancellative ordered semigroup can be embedded into an ordered group and as a consequence, it was shown that a commutative ordered semigroup can be embedded into an ordered group if and only if it is cancellative. In this paper we introduce the concept of $L$-maher and $R$-maher semigroups and use a technique similar to that used in [7] to show that any left reversible cancellative ordered $L$ or $R$-maher semigroup can be embedded into an ordered group.
LA - eng
KW - semicommutative semigroups; maher semigroups; ordered semigroups; semicommutative semigroups; Maher semigroups; ordered semigroups
UR - http://eudml.org/doc/30861
ER -
References
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- The embedding of and ordered semigroup in a simple one with identity, Semigroup Forum 53 (1996). (1996) MR1406780
- 10.1007/s002339910028, Semigroup Forum 60 (2000), 344–350. (2000) MR1828820DOI10.1007/s002339910028
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