On GE-algebras

Ravikumar Bandaru; Arsham Borumand Saeid; Young Bae Jun

Bulletin of the Section of Logic (2021)

  • Volume: 50, Issue: 1, page 81-96
  • ISSN: 0138-0680

Abstract

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Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced and studied its properties. We consider filters, upper sets and congruence kernels in a GE-algebra. We also characterize congruence kernels of transitive GE-algebras.

How to cite

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Ravikumar Bandaru, Arsham Borumand Saeid, and Young Bae Jun. "On GE-algebras." Bulletin of the Section of Logic 50.1 (2021): 81-96. <http://eudml.org/doc/296790>.

@article{RavikumarBandaru2021,
abstract = {Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced and studied its properties. We consider filters, upper sets and congruence kernels in a GE-algebra. We also characterize congruence kernels of transitive GE-algebras.},
author = {Ravikumar Bandaru, Arsham Borumand Saeid, Young Bae Jun},
journal = {Bulletin of the Section of Logic},
keywords = {(transitive) GE-algebra; filter; upper set; congruence kernel},
language = {eng},
number = {1},
pages = {81-96},
title = {On GE-algebras},
url = {http://eudml.org/doc/296790},
volume = {50},
year = {2021},
}

TY - JOUR
AU - Ravikumar Bandaru
AU - Arsham Borumand Saeid
AU - Young Bae Jun
TI - On GE-algebras
JO - Bulletin of the Section of Logic
PY - 2021
VL - 50
IS - 1
SP - 81
EP - 96
AB - Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced and studied its properties. We consider filters, upper sets and congruence kernels in a GE-algebra. We also characterize congruence kernels of transitive GE-algebras.
LA - eng
KW - (transitive) GE-algebra; filter; upper set; congruence kernel
UR - http://eudml.org/doc/296790
ER -

References

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