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GE-filter
Expansions in
GE-algebras
Young Bae Jun (1) and Ravikumar Bandaru (2)
(1) Department
of Mathematics
Education,
Gyeongsang
National
University,
Jinju 52828,
Korea
Email address:
skywine@gmail.com
(2) Department of
Mathematics, GITAM
(Deemed to be
University),
Hyderabad Campus,
Telangana-502329,
India
Email address:
ravimaths83@gmail.com
Doi :
https://doi.org/10.47013/15.4.24
Cited by :
Jordan J. Math &
Stat.,
15 (4B) (2022),
1153 - 1171
PDF
Received on:
Nov. 15,
2021;
Accepted
on: March 8,
2022
Abstract. The notions
of GE-filter
expansion and
ξ-primary
GE-filter are
introduced and
their properties
are
investigated.
Different ways
to create a
GE-filter
expansion are
provided. The
notion of good
GE-filter
expansion is
introduced and
its properties
investigated.
The conditions
for an image and
an inverse image
of a ξ-primary
GE-filter of a
GE-algebra to be
a ξ-primary
GE-filter are
provided.
Keywords: (int-preserving,
good) GE-filter
expansion,
(first, second)
ξ-primary.
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