# On k-radicals of Green's relations in semirings with a semilattice additive reduct

Tapas Kumar Mondal; Anjan Kumar Bhuniya

Discussiones Mathematicae - General Algebra and Applications (2013)

- Volume: 33, Issue: 1, page 85-93
- ISSN: 1509-9415

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topTapas Kumar Mondal, and Anjan Kumar Bhuniya. "On k-radicals of Green's relations in semirings with a semilattice additive reduct." Discussiones Mathematicae - General Algebra and Applications 33.1 (2013): 85-93. <http://eudml.org/doc/270491>.

@article{TapasKumarMondal2013,

abstract = {We introduce the k-radicals of Green's relations in semirings with a semilattice additive reduct, introduce the notion of left k-regular (right k-regular) semirings and characterize these semirings by k-radicals of Green's relations. We also characterize the semirings which are distributive lattices of left k-simple subsemirings by k-radicals of Green's relations.},

author = {Tapas Kumar Mondal, Anjan Kumar Bhuniya},

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

keywords = {k-radicals of Green's relations; left k-regular semiring; left k-simple semiring; distributive lattices of left k-simple semirings; -radicals; Green relations; left -regular semirings; distributive lattices of left -simple semirings; semilattice additive reducts},

language = {eng},

number = {1},

pages = {85-93},

title = {On k-radicals of Green's relations in semirings with a semilattice additive reduct},

url = {http://eudml.org/doc/270491},

volume = {33},

year = {2013},

}

TY - JOUR

AU - Tapas Kumar Mondal

AU - Anjan Kumar Bhuniya

TI - On k-radicals of Green's relations in semirings with a semilattice additive reduct

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2013

VL - 33

IS - 1

SP - 85

EP - 93

AB - We introduce the k-radicals of Green's relations in semirings with a semilattice additive reduct, introduce the notion of left k-regular (right k-regular) semirings and characterize these semirings by k-radicals of Green's relations. We also characterize the semirings which are distributive lattices of left k-simple subsemirings by k-radicals of Green's relations.

LA - eng

KW - k-radicals of Green's relations; left k-regular semiring; left k-simple semiring; distributive lattices of left k-simple semirings; -radicals; Green relations; left -regular semirings; distributive lattices of left -simple semirings; semilattice additive reducts

UR - http://eudml.org/doc/270491

ER -

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