Zitieren

[1] R. Ameri, H. Shojaei, Projective and Injective Krasner Hypermodules, J. Algebra Appl., in press, https://doi.org/10.1142/S021949882150186310.1142/S0219498821501863 Search in Google Scholar

[2] B. Banaschewski, G. Bruns, Categorical characterization of the MacNeille Completion, Arch. Math., 18 (1967), 369–377.10.1007/BF01898828 Search in Google Scholar

[3] H. Bordbar, I. Cristea, About normal projectivity and injectivity of Krasner hypermodules, Axioms, 10 (2021), 83.10.3390/axioms10020083 Search in Google Scholar

[4] H. Bordbar, M. Novak, I. Cristea, A note on the support of a hypermodule, J. Algebra Appl., 19(01) (2020), 2050019.10.1142/S021949882050019X Search in Google Scholar

[5] P.R. Halmos, Lectures on Boolean Algebras, Van Nostrand, 1963. Search in Google Scholar

[6] P. J. Hilton and U. Stammabach, A Course in Homological Algebra, Graduate Texts in Mathematics, 2nd edn., Vol. 4 (Springer-Verlag, New York, 1997).10.1007/978-1-4419-8566-8 Search in Google Scholar

[7] M. Krasner, Approximation des corps values complets de caracteristique p, p > 0, par ceux de caracteristique zero, Colloque d Algebre Superieure (1956), CBRM, Bruxelles, 1957. Search in Google Scholar

[8] M. Krasner, A class of hyperrings and hyperfields, Int. J. Math. Math. Sci., 6(2) (1983), 307–312.10.1155/S0161171283000265 Search in Google Scholar

[9] A. Madanshekaf, Exact category of hypermodules, Int. J. Math. Math. Sci., 8 (2006), Art. ID 31368.10.1155/IJMMS/2006/31368 Search in Google Scholar

[10] Ch. G. Massouros, Free and cyclic hypermodules, Ann. Mat. Pura Appl., 4(150) (1988), 153–166.10.1007/BF01761468 Search in Google Scholar

[11] G. Massouros, Ch.G. Massouros, Hypercompositional Algebra, Computer Science and Geometry, Mathematics, 8(8) (2020), 1338.10.3390/math8081338 Search in Google Scholar

[12] Ch. G. Massouros, G. Massouros, An Overview of the Foundations of the Hypergroup Theory, Mathematics, 9(9) (2021), 1014.10.3390/math9091014 Search in Google Scholar

[13] E. Matlis, Divisible modules, Proc. Amer. Math. Soc., 11(3) (1960), 385–391.10.1090/S0002-9939-1960-0116044-8 Search in Google Scholar

[14] J. Mittas, Hyperanneaux canoniques, Math. Balkanica, 2(1972), 165–179. Search in Google Scholar

[15] S. Sh. Mousavi, Free hypermodules: a categorical approach, Comm. Algebra, 48(8) (2020), 3184–3203.10.1080/00927872.2020.1730865 Search in Google Scholar

[16] R. Rota, Sugli iperanelli moltiplicativi, Rend. Mat., Roma, 4 (1982), vol. 2, serie VII, 711–724. Search in Google Scholar

[17] H. Shojaei, R. Ameri, Some results on categories of Krasner hypermodules, J. Fundam. Appl. Sci., 8(3S) (2016), 2298–2306. Search in Google Scholar

[18] H. Shojaei, R. Ameri, S. Hoskova-Mayerova, On properties of various morphisms in the categories of general Krasner hypermodules, Ital. J. Pure Appl. Math., 39 (2017), 475–484. Search in Google Scholar

[19] H. Shojaei, R. Ameri, Various kinds of freeness in the categories of Krasner hypermodules, Int. J. Anal. Appl., 16(6) (2018), 793–808. Search in Google Scholar

[20] H. Shojaei, R. Ameri, Some Unavoidable Questions about Krasner Hypermodules, Int. J. Open Problems Compt. Math., 11(3) 2018, 38–46. Search in Google Scholar

[21] H. Shojaei, D. Fasino, Isomorphism Theorems in the Primary Categories of Krasner Hypermodules, Symmetry, 11 (2019), 687.10.3390/sym11050687 Search in Google Scholar

[22] T. Vougiouklis, The fundamental relation in hyperrings. The general hyperfield, Algebraic hyperstructures and applications (Xanthi, 1990), 203-211, World Sci. Publishing, Teaneck, NJ, 1991.10.1142/9789814539555 Search in Google Scholar

eISSN:
1844-0835
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
Volume Open
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines