Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ⊊ W ⊆ M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of rings and modules.
The relation between faithful, finitely generated, separated acts and the one-to-one operators was investigated, and the associated S-act of coshT and its attributes have been examined. In this paper, we proved for any bounded Linear operators T, VcoshT is faithful and separated S-act, and if a Banach space V is finite-dimensional, VcoshT is infinitely generated.
After this stage in the Bible is problematic and the profane in the poetry of the AL-Sayeghs,
and found that the poems path heading towards obey religious authority because of their wills
and powers, and the insurgency in other areas, as it did not employ shady methods and puns
and intriguing, and I find the reason for this is due to the fear poet focused toward the
influence of political Sergeant, more than effusion direction ascendancy religious sergeant,
was a AL-Sayeghs stop at this border; but went to the formulations problematic diversity in
the cognitive system, he tries it all to critique, as submitted by the history of the conflicts
produced generations of oppression and conflict and tension (what my fault I
The Immanence in S. Abdu; Saboor Poetry
With the wide developments of computer science and applications of networks, the security of information must be increased and make it more complex. The most important issues is how to control and prevent unauthorized access to secure information, therefore this paper presents a combination of two efficient encryption algorithms to satisfy the purpose of information security by adding a new level of encryption in Rijndael-AES algorithm. This paper presents a proposed Rijndael encryption and decryption process with NTRU algorithm, Rijndael algorithm is important because of its strong encryption. The proposed updates are represented by encryption and decryption Rijndael S-Box using NTRU algorithm. These modifications enhance the degree of
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Throughout this paper we introduce the notion of coextending module as a dual of the class of extending modules. Various properties of this class of modules are given, and some relationships between these modules and other related modules are introduced.
في تعزيز بيئة الانتاج الرشيق استخدام اسلوب S -5