Preferred Language
Articles
/
hRajDocBVTCNdQwCPzPV
On Semiannahilator Supplement Submodules
...Show More Authors

Let R be associative; ring; with an identity and let D be unitary left R- module; . In this work we present semiannihilator; supplement submodule as a generalization of R-a- supplement submodule, Let U and V be submodules of an R-module D if D=U+V and whenever Y≤ V and D=U+Y, then annY≪R;. We also introduce the the concept of semiannihilator -supplemented ;modules and semiannihilator weak; supplemented modules, and we give some basic properties of this conseptes

Publication Date
Sun Sep 04 2011
Journal Name
Baghdad Science Journal
Pulse Profile Rule in Laser Heating of Opaque Targets in Air
...Show More Authors

A theoretical model is developed to determine time evolution of temperature at the surface of an opaque target placed in air for cases characterized by the formation of laser supported absorption waves (LSAW) plasmas. The model takes into account the power temporal variation throughout an incident laser pulse, (i.e. pulse shape, or simply: pulse profile).
Three proposed profiles are employed and results are compared with the square pulse approximation of a constant power.

View Publication Preview PDF
Crossref