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Latest
Issue
Volume
15, No.
1,
March 2022
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Articles |
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Maximal
Ideals of
Transitive
BE-Algebras
The notion
of maximal
ideals is
introduced
in
transitive
BE-algebras.
Some
equivalent
conditions
are derived
for a proper
ideal of
BE-algebra
to become a
maximal
ideal. The
concept of
semi-simple
BE-algebras
is
introduced
and its
properties
are studied
in terms of
maximal
ideals of
BE-algebras.
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M. Bala Prabhakar
S. Kalesha Vali
M. Sambasiva Rao
JJMS,
2022, 15(1),
1-14
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In
this
paper,
we
investigate
the
existence
of
weak
solutions
for
some
coupled
systems
of
fractional
Caputo-type
modification
of
the
Erdelyi-Kober
differential
equations
with
retardation
and
anticipation.
Our
approach
is
based
on
Monch’s
fixed
point
theorem
associated
with
the
technique
of
measure
of
weak
noncompactness.
Finally,
an
example
of
our
results
is
provided.
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Mokhtar
Boumaaza
Mouffak
Benchohra
Juan J.
Trujillo
JJMS,
2022, 15(1),
15-31
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Stable Range Conditions
In this paper, we discuss stable range conditions (stable range one, unit
1-stable range and weakly unit 1-stable range) for a semilocal ring. In particular, we prove that a semilocal ring satisfies weakly unit 1-stable range if and only if it is Ʃ-clean ring. We also show that none of the properties are local properties.
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Nitin Bisht
JJMS,
2022, 15(1),
33-42
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Notes on Generalizations of Hopfian and Co-Hopfian Modules
A module M is called semi co-Hopfian (resp. semi Hopfian) if any
injective (resp. surjective) endomorphism of M has a direct summand image (resp. kernel). We show that if M is semi Hopfian strongly co-Hopfian or semi co-Hopfian strongly Hopfian module, then EndR(M) is strongly π-regular ring. As a conse quence we obtain a version of Hopkins-Levitzki Theorem extend to semi Hopfian module and to semi co-Hopfian module. The semi Hopficity and semi co-Hopficity
of modules over truncated polynomial rings are considered.
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Abderrahim
El Moussaouy
M’hammed
Ziane
JJMS,
2022, 15(1),
43-54
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Ebrahim
Alizadeh
Ali
Farokhinia
JJMS,
2022, 15(1),
55-63
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Sheza M. El-Deeb
G.
Murugusundaramoorthy
JJMS,
2022, 15(1),
65-88
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Prime and
Semiprime
Rings
Involving
Multiplicative
(Generalized)-Skew
Derivations
In this
article, we
will cover a
concept
called
multiplicative
(generalized)
skew
derivation
on rings,
and we will
generalize
some of the
important
results in
the
literature.
After, we
enrich this
paper with
examples
which show
that our
used
assumptions
are
essential.
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Abdelkarim
Boua
Mohammad
Ashraf
Ahmed Y.
Abdelwanis
JJMS,
2022, 15(1),
89-104
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On
3-Dimensional
Trans-Sasakian
Manifolds
Admitting
*−Ricci
Solitons
The object
of the
present
paper is to
characterize
3-dimensional
trans-Sasakian
manifolds
admitting
*-Ricci
solitons.
First,
3-dimensional
trans-Sasakian
manifolds
admitting
*-Ricci
solitons
satisfying
the
conditions
R(ξ, .) · S,
S(ξ, .) ·
R = 0 and Q
· R = 0 are
studied.
Further,
3-dimensional
manifolds
admitting
*-Ricci
solitons
satisfying
certain
conditions
on the
projective
curvature
tensor are
considered
and obtained
several
interesting
results.
Finally, the
existence of
*-Ricci
solitons in
a
3-dimensional
trans-Sasakian
manifold has
been proved
by a
concrete
example. |
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Abdul Haseeb
H. Harish
D. G.
Prakasha
JJMS,
2022, 15(1),
105-121
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Convex
Contractions
of order n
In CAT(0)
Spaces
In this
paper, we
work on
convex
contraction
of order n.
Our first
result in
general
metric
spaces shows
that each
convex
contraction
of order n
is a Bessaga
mapping. We
then turn
our
attention to
CAT (0)
spaces. We
prove a
demiclosedness
principle
for such
mappings in
this
setting.
Next, we
consider
modified
Mann
iteration
process and
prove some
convergence
theorems for
fixed points
of such
mappings in
CAT (0)
spaces. Our
results are
new in CAT
(0) setting.
Our results
remain true
in linear
spaces like
Hilbert and
Banach
spaces.
Finally, we
give an
example in
order to
support our
main results
and to
demonstrate
the
efficiency
of modified
Mann
iteration
process.
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Isa Yildirim
Yücel
Tekmanli
Safeer
Hussain Khan
JJMS,
2022, 15(1),
123-137
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Approximation
of
Generalized
Szász-Mirakjan
Operators
depending on
certain
Parameters
Motivated by
certain
generalizations,
in this
paper we
consider a
new
analogue of
generalized
Szasz-Mirakjan
operators
whose
construction
depends on
τ, with
extra
parameters µ
and λ.
Depending on
the
selection of
µ and λ,
these
operators
are more
flexible
than the
generalized
Szasz-Mirakjan
operators.
We
investigate
approximation
properties.
Also, we
study local
and global
approximation,
Voronovskaya
type
theorem.
Finally,
quantitative
estimates
for the
local
approximation
are
discussed. |
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Mohd Qasim
M. Mursaleen
Asif Khan
Zaheer Abbas
JJMS,
2022, 15(1),
139-155
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