let $r$ be an arbitrary ring and $t$ be a submodule of an $r$-module $m$. a submodule $n$ of $m$ is called $t$-small in $m$ provided for each submodule $x$ of $m$, $tsubseteq x+n$ implies that $tsubseteq x$. we study this mentioned notion which is a generalization of the small submodules and we obtain some related results.

The machine to be designed and developed with a view to resolve one ofthe irksome problems of this institute has been facing every year. This institute issurrounded by vast non- fertile land area of about 200 acres, which becomes widelyoccupied by numerous breads of bushes and shrubs during post-rainy season. Due tothis unwanted proliferation of such verdant institute gets abysmal look and that...

Small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. Moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. Non-Fourier heat transfer overcomes some shortcomings of Fourier heat tran...

in this study, displacement field around v-notches of a poly methyl metha crylate (pmma) specimen with tip cracks will be analyzed using digital image correlation technique. first intensity factor in combination with in-plane rigid body translations and rotation components will be determined by linear least squares fitting of the displacement field data to the corresponding relations among stre...