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On the embedding of ordered semigroups into ordered group

Mohammed Ali Faya Ibrahim — 2004

Czechoslovak Mathematical Journal

It was shown in [7] that any right reversible, cancellative ordered semigroup can be embedded into an ordered group and as a consequence, it was shown that a commutative ordered semigroup can be embedded into an ordered group if and only if it is cancellative. In this paper we introduce the concept of L -maher and R -maher semigroups and use a technique similar to that used in [7] to show that any left reversible cancellative ordered L or R -maher semigroup can be embedded into an ordered group.

Parabolic Marcinkiewicz integrals on product spaces and extrapolation

Mohammed AliMohammed Al-Dolat — 2016

Open Mathematics

In this paper, we study the the parabolic Marcinkiewicz integral [...] MΩ,hρ1,ρ2 Ω , h ρ 1 , ρ 2 on product domains Rn × Rm (n, m ≥ 2). Lp estimates of such operators are obtained under weak conditions on the kernels. These estimates allow us to use an extrapolation argument to obtain some new and improved results on parabolic Marcinkiewicz integral operators.

Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system

Marwan AlquranKamel Al-KhaledMohammed AliOmar Abu Arqub — 2017

Waves, Wavelets and Fractals

The Hirota-Satsuma model with fractional derivative is considered to provide some characteristics of memory embedded into the system. The modified system is analyzed analytically using a new technique called residual power series method. We observe thatwhen the value of memory index (time-fractional order) is close to zero, the solutions bifurcate and produce a wave-like pattern.

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