# On the subsemigroup generated by ordered idempotents of a regular semigroup

Anjan Kumar Bhuniya; Kalyan Hansda

Discussiones Mathematicae - General Algebra and Applications (2015)

- Volume: 35, Issue: 2, page 205-211
- ISSN: 1509-9415

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topAnjan Kumar Bhuniya, and Kalyan Hansda. "On the subsemigroup generated by ordered idempotents of a regular semigroup." Discussiones Mathematicae - General Algebra and Applications 35.2 (2015): 205-211. <http://eudml.org/doc/276485>.

@article{AnjanKumarBhuniya2015,

abstract = {An element $e$ of an ordered semigroup S is called an ordered idempotent if e ≤ e². Here we characterize the subsemigroup \[ generated by the set of all ordered idempotents of a regular ordered semigroup S. If S is a regular ordered semigroup then \]
is also regular. If S is a regular ordered semigroup generated by its ordered idempotents then every ideal of S is generated as a subsemigroup by ordered idempotents.},

author = {Anjan Kumar Bhuniya, Kalyan Hansda},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {ordered regular; ordered inverse; ordered idempotent; downward closed; completely regular},

language = {eng},

number = {2},

pages = {205-211},

title = {On the subsemigroup generated by ordered idempotents of a regular semigroup},

url = {http://eudml.org/doc/276485},

volume = {35},

year = {2015},

}

TY - JOUR

AU - Anjan Kumar Bhuniya

AU - Kalyan Hansda

TI - On the subsemigroup generated by ordered idempotents of a regular semigroup

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2015

VL - 35

IS - 2

SP - 205

EP - 211

AB - An element $e$ of an ordered semigroup S is called an ordered idempotent if e ≤ e². Here we characterize the subsemigroup \[ generated by the set of all ordered idempotents of a regular ordered semigroup S. If S is a regular ordered semigroup then \]
is also regular. If S is a regular ordered semigroup generated by its ordered idempotents then every ideal of S is generated as a subsemigroup by ordered idempotents.

LA - eng

KW - ordered regular; ordered inverse; ordered idempotent; downward closed; completely regular

UR - http://eudml.org/doc/276485

ER -

## References

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