پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 326 |
| تعداد مقالات | 2,803 |
| تعداد مشاهده مقاله | 4,228,957 |
| تعداد دریافت فایل اصل مقاله | 2,881,974 |
On clean hyperrings | ||
| Journal of Hyperstructures | ||
| دوره 4، شماره 1، شهریور 2015، صفحه 1-10 اصل مقاله (98.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2015.2593 | ||
| نویسندگان | ||
| Taybeh Amouzegar* 1؛ Yahya Talebi2 | ||
| 1Department of Mathematics, Quchan Institute of Engineering and Technology , Quchan, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| چکیده | ||
| We introduce and study clean hyperrings. A hyperring R is called a clean hyperring if for every element x of R, x ∈ u + e where u is a unit and e is an idempotent. We also introduce GChyperring which is a proper generalization of clean hyperrings and obtain some related results of such hyperrings. | ||
| کلیدواژه‌ها | ||
| Hyperring؛ Hyperideal؛ Clean hyperring؛ GC-hyperring | ||
| مراجع | ||
|
[1] A. Asokkumar, , Derivations in Hyperrings and Prime Hyperrings, Iranian Jour-nal of Mathematical Sciences and Informatics, 8 (2013), 1-13. [2] Irina Cristea, Sanja Jancic-Rasovic , Composition hyperrings, Analele Univ. Ovidius Constanta, 21 (2013), 81 94. [3] P. Corsini, , Prolegomena of Hypergroup Theory. , Aviani Supplement to Riv. Mat. Pura Appl. 2nd ed. Editor, Tricesimo, (1993). [4] P. Corsini, V. Leoreanu, , Applications of Hyperstructure Theory, Advances in Mathematics. Kluwer Academic Publishers, (2003). [5] B. Davvaz, A. Salasi, A Realization of Hyperrings, Comm. Algebra,34 (2006),4389-4400. [6] U. Dasgupta, On Prime and Primary Hyperideals of a Multiplicative Hyperring, Annals of the Alexandru Ioan Cuza University - Mathematics. Volume LVIII, Issue 1, Pages 19 36, ISSN (Print) 1221-8421, DOI: 10.2478/v10157-011-0039-7, April 2012. [7] M. Krasner, Approximation des Corps Values Complete de Characteristique p ̸= 0 par ceux de Characteristique 0. Colloque d,Algebra superieure (Bruxelles, Decembre 1956), Bruxelles: C.B.R.M. (1957). [8] M. Krasner, A Class of Hyperring and Hyperfields, Intern. J. Math. Sci. 6(1983),307-312. [9] F. Marty, Sur une generalization de group, In:8i em Congres Math. Scandinaves:Stockholm, (1934),45-49. [10] J. Mittas, Hypergroupes Canoniques, Mathematica Balkanica, 2 (1972),165-179. [11] A. Nakassis, Recent Results in Hyperring and Hyperfield Theory, Intern. J. Math. Sci. 11 (1988),209-220. [12] W.K. Nicholson, Lifting idempotents and exchange rings, Trans. Amer. Math. Soc.229 (1977), 269-278. [13] D. M. Olson, V. K. Ward, A Note on Multiplicative Hyperrings, Italian J. Pure Appl. Math. 1 (1997),77-84. [14] R. Procesi, R. Rota, On some Classes of Hyperstructures, Discrete Math., 208/209 (1999),485-497. [15] R. Rota, Sugli Iperanelli Moltiplicativi, Rend. di Mat. e delle sue Appl, Series VII, 4(1982),714-724. [16] R. Rota, Hyperaffine Planes Over Hyperrings. Discrete Math.155 (1996),215-223. [17] M. Stefanescu, Constructions of Hyperrings and Hyperfields. Advances in Abstract Algebra (ed. I. Tofan, M. Gontineac, M. Tarnauceanu) published by Alexandru Myller, Iasi, (2008), 4154. [18] T. Vougiuklis, Hyperstructures and Their Representations, Palm Harber, USA, Hadronic Press, Inc. (1994). [19] M. M Zahedi, R. Ameri, On the Prime, Primary and Maximal Subhypermodules, Italian Journal Pure and Applied Mathematics, 5 (1999),61-80. | ||
|
آمار تعداد مشاهده مقاله: 22 تعداد دریافت فایل اصل مقاله: 27 |
||