In this paper, we will develop these results by setting appropriate conditions, and defining
new properties, relating to our concept, for example (fully prime semimodule, fully essential …

A Note on Essential Subsemimodules Page 1 *Corresponding author. E- mail address:
kfpawar@nmu.ac.in NEW TRENDS IN MATHEMATICAL SCIENCES Vol. 1, No. 2, 2013,p. 18-21 …

On Semi-Essential Subsemimodules in Multiplication Semimodules Page 1 ISSN 2347-1921
Volume 12 Number 07 Journal of Advances in Mathematics 6449 | Page council for Innovative …

In modules there is a relation between supplemented and π-projective semimodules. This
relation was introduced, explained and investigated by many authors. This research will …

In this paper, we introduce the concept of sp-semisimple module. Let S be a semiradical
property, we say that a module M is sp-semisimple if for every submodule N of M, there …

In this work, the notion of principally quasi-injective semimodule is introduced, discussing
the conditions needed to get properties and characterizations similar or related to the case …

In this paper we introduce the notions of semiprime subsemimodules and semiprime k-
subsemimodules and present some characterizations about them. Special attention has …

In this paper,⨁-supplemented semimodules are deined as generalizations of⨁-
supplemented modules. Let S be a semiring. An S-semimodule A is named a⨁ …

For a semimodule over any semiring, the maximal and prime k-subsemimodules are
characterized with the help of the quotient structure. The main results are as follows. A …

Two different notions of" essential" subsemimodules were introducedin the theory of
semimodules over a semiring with identity, in orderto generalize the same notion of" …