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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus…
Bousselham Ganbouri
We study the Poisson-Lie structures on the group SU (2,R). We calculate all Poisson-Lie structures on SU (2,R) through the correspondence with Lie bialgebra structures on its Lie algebra su (2,R). We show that all these structures are linearizable in the neig…
Njuguna E. Muturi
The set of continuous functions from topological space Y to topological space Z endowed with a topology forms the function space. For A subset of Y , the set of continuous functions from the space A to the space Z forms the underlying function space with an i…
Sumitra, Saurabh Manro
The aim of this paper is to prove common fixed point theorems for variants of weak compatible maps in a complex valued-metric space. In this paper, we generalize various known results in the literature using ( CLRg ) property. The concept of ( CLRg ) does not…
Tariel Kemoklidze
The paper considers the problem of full transitivity of a cotorsion hull of a separable primary group G when a ring of endomorphisms E ( G ) of the group G has the form , where E s ( G ) is a subring of small endomorphisms of the ring E ( G ) , whereas J p is…
M. H. Anjom Shoa, M. H. Hosseini
In this paper we show that if R is a discrete valuation ring, then R is a filtered ring. We prove some properties and relation when R is a discrete valuation ring.
Huishu Yuan, Xiangzhi Kong
By utilizing homomorphisms and -strong semilattice of semigroups, we show that the Green ( * ,~) -relation H * ,~ is a regular band congruence on a r -ample semigroup if and only if it is a G -strong semilattice of completely J * ,~ -simple semigroups. The re…
Hezron S. Were, Stephen M. Gathigi, Paul A. Otieno, Moses N. Gichuki, Kewamoi C. Sogomo
Recent developments in mathematics have in a sense organized objects of study into categories, where properties of mathematical systems can be unified and simplified through presentation of diagrams with arrows. A category is an algebraic structure made up of…
Yehuda Gavriel Roth
We present a complete interpretation theory in the following sense: w e observe that each measuring device represents a concept set (such as the set of locations) while the measurement activity associates the measured object with an appropriate member from th…
Yang Li
Trial equation method is a powerful tool for obtaining exact solutions of nonlinear differential equations. In this paper, the improved Boussinesq is reduced to an ordinary differential equation under the travelling wave transformation. Trial equation method…
Linfen Cao, Guodong Xu, Zhaohui Dai
It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if the k th mean curvature function H k is a linear combination of H k +1 , … , H n…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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