The Clifford semiring congruences on an additive regular semiring

A.K. Bhuniya

Discussiones Mathematicae - General Algebra and Applications (2014)

  • Volume: 34, Issue: 2, page 143-153
  • ISSN: 1509-9415

Abstract

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A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup. Also we give an explicit description for the least (generalized)Clifford congruence on such semirings.

How to cite

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A.K. Bhuniya. "The Clifford semiring congruences on an additive regular semiring." Discussiones Mathematicae - General Algebra and Applications 34.2 (2014): 143-153. <http://eudml.org/doc/270704>.

@article{A2014,
abstract = {A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup. Also we give an explicit description for the least (generalized)Clifford congruence on such semirings.},
author = {A.K. Bhuniya},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {additive regular semiring; skew-ring; trace; kernel; Clifford congruence},
language = {eng},
number = {2},
pages = {143-153},
title = {The Clifford semiring congruences on an additive regular semiring},
url = {http://eudml.org/doc/270704},
volume = {34},
year = {2014},
}

TY - JOUR
AU - A.K. Bhuniya
TI - The Clifford semiring congruences on an additive regular semiring
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2014
VL - 34
IS - 2
SP - 143
EP - 153
AB - A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive reduct is a regular semigroup. Also we give an explicit description for the least (generalized)Clifford congruence on such semirings.
LA - eng
KW - additive regular semiring; skew-ring; trace; kernel; Clifford congruence
UR - http://eudml.org/doc/270704
ER -

References

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  12. [12] M.K. Sen and A.K. Bhuniya, On the left inversive semiring congruences on additive regular semirings, Journal of the Korea Society of Mathematical Education 12 (2005) 253-274. Zbl1139.16306
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