Let $R$ be a commutative semiring and $I$ be a $k$-ideal of $R$. In this paper, we introduce the $k$-ideal-based graph of $R$, denoted by $\Gamma_{I^{*}}(R)$. The basic properties and possible structures of the graph are studied.

The notion and some properties of (strongly) B-rings, in a natural way, are extended to (strongly) B-and (strongly) BJ-semirings which is somewhat similar to the notion of rings having stable range 2. Results are given showing the connection between several types of semirings whose finite sequences satisfy some stability condition, some involving the Jacobson k-radical of the semiring R. Besides some examples and other results, it is shown that R[x], the semiring of polynomials over a semiring R, is not a B-semiring (consequently, not a strongly B-semiring) when R is a zerosumfree semiring. We also study some algebraic properties of the S-relative B-and BJ-semirings with respect to a nonempty subset S of R.

Abstract Access to information is a fundamental element in research and production of science process, as well as one of the metrics of development. So, the awareness and use of communicational and informational networks, as well as their related technologies could be really necessary. In this connection, internet, web and related techniques, such as RSS (Really Simple Syndication, Rich Site Summary, or RDF Site Summary) is one of these technologies which appeared on many websites, weblogs and databases, in recent years and became the most expanded and suitable tool for making awareness. Obviously, this technology allows the librarians and information scientists to find access to the existential information on websites, weblogs and databases, in order to improve their commercial, economical, educational, research, social and cultural relations. More over, using this technology can make users to access to their information by themselves, and to fulfill their informational needs. This technology through its own language programming can show the latest information and become up to date by adding new information. RSS is a simple and quick method for current awareness, new book list, reference services, education and communication with users, which should not be ignored by librarian in libraries and information centers.Therefore, we tried first to give a definition of RSS feed as well as to present its advantages for application; then we try divide RSS readers into two main groups; web based and special software based, with some examples of each group. At the end, we suggest that for better understanding and also for providing appropriate and suitable information services for users, this technique (RSS Feed) and its facilities should not be ignored by librarians in the libraries and information centers.

Background: The aim of this study was to evaluate the outcome and survival in patients with RCC treated with non-hilar clamping simple enucleation. Methods: In this case series study, all patients in Hashemi Nejad Hospital in Tehran undergone non-hilar clamping simple enucleation surgery in the years 1383 to 1393 by RCC T1 enrolled the study. Exclusion criteria included the presence of multi-focal RCC, synchronous mass in patients, the existence of positive lymph nodes before or during surgery and radical nephrectomy due to past RCC. 134 patients undergoing partial nephrectomy in tumors T1 (T1a, T1b) studied, 9 patients has not completed the follow up and 10 patients had oncocytoma and angiomyolipoma excluded the study. 115 patients with RCC pathology who undergone non-hilar clamping Simple Enucleation were examined. Results: In this case series study, 115 patients with pathologically confirmed RCC were evaluated on the basis that 70patients were male and 45 were female. Patients have ranged in age from 20 to 75 years old and 51. 28 year. Average figure of 97% progression free survival at three-year and five-year study was 89%. Also three-year study of cancer specific survival at five years was 100% and 95% respectively. Patients who have relapsed 2 female and 2 were male. The recurrence was not significantly associated with gender (p= 0. 511). Also 2 patients had recurrence of the left kidney and 2 were all right and there was no statistically significant difference (p= 0. 643). Every 4 patients recurrent disease have T1b the difference was significant (p= 0. 026). Also patients had recurrence of grade 2 to grade 1 patients have high grade recurrence was observed (p<0. 001). No significant difference was found between GFR before and 3 months after surgery (p= 0. 802) and a biopsy of the tumor bed margins were negative in all cases. Conclusion: Non-clamping SE in patients with T1 renal masses is similar to partial nephrectomy is onchologic results. In this study, recurrence was higher in patients with T1b tumors that appear in determining treatment and close follow-up T1 b should be more comprehensive criteria. Non clamping SE preserving kidney function is a good choice in the treatment of T1 tumors. Non clamping SE more complications following surgery and that could be more widely used.

The concept of G-semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of G -semiring. Since the theory of ideals plays an important role in the theory of G-semihyperring, in this paper, we will make an intensive study of the notions of Noetherian, Artinian, simple and regular G -semihyperrings. The bulk of this paper is devoted to stating and proving analogues to several theorems in the theory of G-semihyperrings.

The concept of a Γ-semihyperring is a generalization of a semiring, semihyperring, Γ-semiring. In this Paper we introduce the notion of bi-interior Γ-hyperideals, quasi-interior Γ-hyperideals and bi-quasi-interior Γ-hyperideals in a Γ-semihyperring as a generalization of Γ-hyperideal, left-Γ-hyperideal, right-Γ-hyperideals, bi Γ-hyperideal, quasi Γ-hyperideal, interior Γ-hyperideals of Γ-semihyperring. We studied the properties of these Γ-hyperideals and characterized them in simple Γ-semihyperring and regular Γ-semihyperring