- -

Topological Krasner hyperrings with special emphasis on isomorphism theorems

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Topological Krasner hyperrings with special emphasis on isomorphism theorems

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Singha, Manooranjan es_ES
dc.contributor.author Das, Kousik es_ES
dc.date.accessioned 2022-05-25T09:39:27Z
dc.date.available 2022-05-25T09:39:27Z
dc.date.issued 2022-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/182890
dc.description.abstract [EN] Krasner hyperring is studied in topological flavor. It is seen that Krasner hyperring endowed with topology, when the topology is compatible with the hyperoperations in some sense, fruits new results comprising algebraic as well as topological properties such as topological isomorphism theorems. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Topological hyperring es_ES
dc.subject Quotient hyperring es_ES
dc.subject Topological isomorphism es_ES
dc.title Topological Krasner hyperrings with special emphasis on isomorphism theorems es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2022.14778
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Singha, M.; Das, K. (2022). Topological Krasner hyperrings with special emphasis on isomorphism theorems. Applied General Topology. 23(1):201-212. https://doi.org/10.4995/agt.2022.14778 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2022.14778 es_ES
dc.description.upvformatpinicio 201 es_ES
dc.description.upvformatpfin 212 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\14778 es_ES
dc.description.references M. Al Tahan and B. Davvaz, Electrochemical cells as experimental verifications of n-ary hyperstructures, Matematika 35, no. 1 (2019), 13-24. es_ES
dc.description.references https://doi.org/10.11113/matematika.v35.n1.1062 es_ES
dc.description.references R. Ameri, M. Eyvazi and S. Hoskova-Mayerova, Superring of polynomials over a hyperring, Mathematics 7, no 10 (2019): 902. es_ES
dc.description.references https://doi.org/10.3390/math7100902 es_ES
dc.description.references R. Ameri, A. Kordi and S. Hoskova-Mayerova, Multiplicative hyperring of fractions and coprime hyperideals, An. Sţ. Univ. Ovidius Constanţa 25, no. 1 (2017), 5-23. es_ES
dc.description.references https://doi.org/10.1515/auom-2017-0001 es_ES
dc.description.references L. Berardi, F. Eugeni and S. Innamorati, Generalized designs, Linear spaces, Hypergroupoids and Algebraic Crypotography, IV Congress on AHA, Xanthi, 1990. es_ES
dc.description.references C. Berge, Graphes et Hypergraphes, Dunod, Paris, 1970. es_ES
dc.description.references H. Bordbar, I. Cristea and M. Novak, Height of hyperideals in Noetherian Krasner hyperrings, UPB Scientific Bulletin, Series A: Appl. Math. Phys. 79, no. 2 (2017), 31-42. es_ES
dc.description.references https://doi.org/10.2298/FIL1719153B es_ES
dc.description.references B. Davvaz, Isomorphism theorems of hyperring, Indian J. Pure Appl. Math. 35, no. 3 (2004), 321-331. es_ES
dc.description.references B. Davvaz, A. Dehghan Nezhad and S. M. Moosavi Nejad, Algebraic hyperstructure of observable elementary particles including the Higgs boson, Proc. Nat. Acad. Sci. India Sect. A: Phys. Sci. 90, no. 1 (2020), 169-176. es_ES
dc.description.references https://doi.org/10.1007/s40010-018-0553-z es_ES
dc.description.references B. Davvaz and V. Leoreanu-Fotea, Hyperring Theory and Applications, International Academic Press, 115, Palm Harber, USA, 2007. es_ES
dc.description.references B. Davvaz and T. Musavi, Codes over hyperrings, Matematicki Vesnik 68, no. 1 (2016), 26-38. es_ES
dc.description.references D. Heidari, B. Davvaz and S. M. S. Modarres, Topological polygroups, Bull. Malays. Math. Sci. Soc. 39 (2016), 707-721. es_ES
dc.description.references https://doi.org/10.1007/s40840-015-0136-y es_ES
dc.description.references D. Heidari, D. Mazaheri and B. Davvaz, Chemical salt reactions as algebraic hyperstructures, Iranian J. Math. Chem. 10, no. 2 (2019), 93-102. es_ES
dc.description.references S. Hoskova-Mayerova, Topological hypergroupoids, Comput. Math. Appl. 64, no. 9 (2012), 2845-2849. es_ES
dc.description.references https://doi.org/10.1016/j.camwa.2012.04.017 es_ES
dc.description.references A. Kehagias and M. Konstantinidou, Lattice ordered join space: an applications-oriented example, Italian J. Pure Appl. Math. (2000). es_ES
dc.description.references M. Konstantinidou, On the hyperlattices-ordered groupoids, Boll. Un. Mat. Ital. A (6) 2, no. 3 (1983), 343-350. es_ES
dc.description.references M. Krasner, A class of hyperrings and hyperfields, Int. J. Math. and Math. Sci. 6 (1983), 307-312. es_ES
dc.description.references https://doi.org/10.1155/S0161171283000265 es_ES
dc.description.references G. Ligozat, Weak representations of Interval Algebras, AAAI-90, Boston, 1990. es_ES
dc.description.references C. G. Massouros, On the theory of hyperrings and hyperfields, Algebra and Logic 24 (1985), 728-742. es_ES
dc.description.references https://doi.org/10.1007/BF01978850 es_ES
dc.description.references G. G. Massouros, Hypercompositional structures in the theory of the languages and automata, Analele Ştiinţifice ale Universităţii ''Al. I. Cuza", Iaşi, Tomul III, Informatica, 1994, 65-73. es_ES
dc.description.references A. Maturo, On a non-standard algebraic hyperstructure and its application to the coherent probability assessments, Italian J. Pure Appl. Math. 7 (2000), 33-50. es_ES
dc.description.references A. Mehrpooya, M. Ebrahimi and B. Davvaz, Two dissimilar approaches to dynamical systems on hyper MV-algebras and their information entropy, Eur. Phys. J. Plus 132 (2017): 379. es_ES
dc.description.references https://doi.org/10.1140/epjp/i2017-11656-8 es_ES
dc.description.references J. R. Munkres, Topology, 2nd Edition. Prentice Hall, 2000. es_ES
dc.description.references M. Norouzi and I. Cristea, Fundamental relation on m-idempotent hyperrings, Open Mathematics 15 (2017), 1558-1567. es_ES
dc.description.references https://doi.org/10.1515/math-2017-0128 es_ES
dc.description.references W. Phanthawimol, Y. Punkla, K. Kwakpatoon and Y. Kemprasit, On homomorphisms of Krasner hyperrings, An. Stiint. Univ. Al. I. Cuza Iasi. Mat.(S.N.) LVII (f.2) (2011), 239-246. es_ES
dc.description.references https://doi.org/10.2478/v10157-011-0023-2 es_ES
dc.description.references W. Prenowitz, Projective geometries as multigroups, Amer. J. Math. 65 (1943), 235-256. es_ES
dc.description.references https://doi.org/10.2307/2371812 es_ES
dc.description.references W. Prenowitz, Descriptive geometries as multigroups, Trans. Amer. Math. Soc. 59 (1946), 333-380. es_ES
dc.description.references https://doi.org/10.1090/S0002-9947-1946-0015126-6 es_ES
dc.description.references I. G. Rosenberg, Hypergroups induced by paths of a directed graph, Italian J. Pure Appl. Math. 4 (1998), 133-142. es_ES
dc.description.references M. S. Shadkami, M. R. Ahmadi Zand and B. Davvaz, The role of complete parts in topological polygroups, Int. J. Anal. Appl. 11 (2016), 54-60. es_ES
dc.description.references S. Spartalis, (H,R)-hyperring, Algebraic hyperstructutres and applications (Xanthi, 1990), World Sci. Publ., Teaneck, NJ, (1991), 187-195. es_ES
dc.description.references D. Stratigopoulos, Homomorphisms and Boolean hyperrings, Italian J. Pure Appl. Math. 17 (2005), 9-20. es_ES
dc.description.references G. Tallini, On Steiner hypergroups and Linear codes, Convegno Ipergruppi, Altre Strutture multivoche e loro applicazioni, Udine, 1985, 87-91. es_ES
dc.description.references V. Vahedi, M. Jafarpour, S. Hoskova-Mayerova, H. Aghabozorgi, V. Leoreanu-Fotea and S. Bekesiene, Derived hyperstructures from hyperconics, Mathematics 8, no. 3 (2020): 429. es_ES
dc.description.references https://doi.org/10.3390/math8030429 es_ES
dc.description.references S. Warner, Topological Rings, North-Holland, 1993. es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem