Let $N$ be a submodule of a module $M$ and a minimal primary decomposition of $N$ is known‎. ‎A formula to compute Baer's lower nilradical of $N$ is given‎. ‎The relations between classical prime submodules and their nilradicals are investigated‎. ‎Some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.

ovine pulmonary adenocarcinoma (opa) is a contagious and transmissible lung cancer of sheepresembling human bronchiolo-alveolar carcinoma. in the present study, lungs of 9400 sheep slaughtered infars province, iran were examined morphopathologically. the opa was diagnosed in the lungs of 21(0.22%) out of 9400 sheep. frequency of involvement of different lobes in the affected lungs was includeda...

The approach to a substantiation of thermodynamics is offered. A conservative system of interacting elements, which is not in equilibrium, is used as a model. This system is then split into small subsystems that are accepted as being in equilibrium. Based on the D’Alambert equation for a subsystem the generalized Liouville equation is obtained. A necessary condition for irreversibility is deter...

to use soil hydrology processes (shp) models, which have increasingly extended during the last years, comprehensive knowledge about these models and their modeling approaches seems to be necessary. the modeling approaches can be categorized as either classical or non-classical. classical approaches mainly model the shp through solving the general unsaturated flow (richards) equation, numericall...

let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...