Topological Krasner hyperrings with special emphasis on isomorphism theorems

dc.contributor.authorSingha, Manooranjanes_ES
dc.contributor.authorDas, Kousikes_ES
dc.date.accessioned2022-05-25T09:39:27Z
dc.date.available2022-05-25T09:39:27Z
dc.date.issued2022-04-01
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.en_EN
dc.description.accrualMethodOJSes_ES
dc.description.bibliographicCitationSingha, 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.2022.14778es_ES
dc.description.issue1es_ES
dc.description.referencesM. 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.referenceshttps://doi.org/10.11113/matematika.v35.n1.1062es_ES
dc.description.referencesR. Ameri, M. Eyvazi and S. Hoskova-Mayerova, Superring of polynomials over a hyperring, Mathematics 7, no 10 (2019): 902.es_ES
dc.description.referenceshttps://doi.org/10.3390/math7100902es_ES
dc.description.referencesR. 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.referenceshttps://doi.org/10.1515/auom-2017-0001es_ES
dc.description.referencesL. Berardi, F. Eugeni and S. Innamorati, Generalized designs, Linear spaces, Hypergroupoids and Algebraic Crypotography, IV Congress on AHA, Xanthi, 1990.es_ES
dc.description.referencesC. Berge, Graphes et Hypergraphes, Dunod, Paris, 1970.es_ES
dc.description.referencesH. 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.referenceshttps://doi.org/10.2298/FIL1719153Bes_ES
dc.description.referencesB. Davvaz, Isomorphism theorems of hyperring, Indian J. Pure Appl. Math. 35, no. 3 (2004), 321-331.es_ES
dc.description.referencesB. 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.referenceshttps://doi.org/10.1007/s40010-018-0553-zes_ES
dc.description.referencesB. Davvaz and V. Leoreanu-Fotea, Hyperring Theory and Applications, International Academic Press, 115, Palm Harber, USA, 2007.es_ES
dc.description.referencesB. Davvaz and T. Musavi, Codes over hyperrings, Matematicki Vesnik 68, no. 1 (2016), 26-38.es_ES
dc.description.referencesD. Heidari, B. Davvaz and S. M. S. Modarres, Topological polygroups, Bull. Malays. Math. Sci. Soc. 39 (2016), 707-721.es_ES
dc.description.referenceshttps://doi.org/10.1007/s40840-015-0136-yes_ES
dc.description.referencesD. 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.referencesS. Hoskova-Mayerova, Topological hypergroupoids, Comput. Math. Appl. 64, no. 9 (2012), 2845-2849.es_ES
dc.description.referenceshttps://doi.org/10.1016/j.camwa.2012.04.017es_ES
dc.description.referencesA. Kehagias and M. Konstantinidou, Lattice ordered join space: an applications-oriented example, Italian J. Pure Appl. Math. (2000).es_ES
dc.description.referencesM. Konstantinidou, On the hyperlattices-ordered groupoids, Boll. Un. Mat. Ital. A (6) 2, no. 3 (1983), 343-350.es_ES
dc.description.referencesM. Krasner, A class of hyperrings and hyperfields, Int. J. Math. and Math. Sci. 6 (1983), 307-312.es_ES
dc.description.referenceshttps://doi.org/10.1155/S0161171283000265es_ES
dc.description.referencesG. Ligozat, Weak representations of Interval Algebras, AAAI-90, Boston, 1990.es_ES
dc.description.referencesC. G. Massouros, On the theory of hyperrings and hyperfields, Algebra and Logic 24 (1985), 728-742.es_ES
dc.description.referenceshttps://doi.org/10.1007/BF01978850es_ES
dc.description.referencesG. 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.referencesA. 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.referencesA. 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.referenceshttps://doi.org/10.1140/epjp/i2017-11656-8es_ES
dc.description.referencesJ. R. Munkres, Topology, 2nd Edition. Prentice Hall, 2000.es_ES
dc.description.referencesM. Norouzi and I. Cristea, Fundamental relation on m-idempotent hyperrings, Open Mathematics 15 (2017), 1558-1567.es_ES
dc.description.referenceshttps://doi.org/10.1515/math-2017-0128es_ES
dc.description.referencesW. 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.referenceshttps://doi.org/10.2478/v10157-011-0023-2es_ES
dc.description.referencesW. Prenowitz, Projective geometries as multigroups, Amer. J. Math. 65 (1943), 235-256.es_ES
dc.description.referenceshttps://doi.org/10.2307/2371812es_ES
dc.description.referencesW. Prenowitz, Descriptive geometries as multigroups, Trans. Amer. Math. Soc. 59 (1946), 333-380.es_ES
dc.description.referenceshttps://doi.org/10.1090/S0002-9947-1946-0015126-6es_ES
dc.description.referencesI. G. Rosenberg, Hypergroups induced by paths of a directed graph, Italian J. Pure Appl. Math. 4 (1998), 133-142.es_ES
dc.description.referencesM. 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.referencesS. Spartalis, (H,R)-hyperring, Algebraic hyperstructutres and applications (Xanthi, 1990), World Sci. Publ., Teaneck, NJ, (1991), 187-195.es_ES
dc.description.referencesD. Stratigopoulos, Homomorphisms and Boolean hyperrings, Italian J. Pure Appl. Math. 17 (2005), 9-20.es_ES
dc.description.referencesG. Tallini, On Steiner hypergroups and Linear codes, Convegno Ipergruppi, Altre Strutture multivoche e loro applicazioni, Udine, 1985, 87-91.es_ES
dc.description.referencesV. 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.referenceshttps://doi.org/10.3390/math8030429es_ES
dc.description.referencesS. Warner, Topological Rings, North-Holland, 1993.es_ES
dc.description.upvformatpfin212es_ES
dc.description.upvformatpinicio201es_ES
dc.description.volume23es_ES
dc.identifier.doi10.4995/agt.2022.14778
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/182890
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de Valènciaes_ES
dc.relation.ispartofApplied General Topologyes_ES
dc.relation.pasarelaOJS\14778es_ES
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2022.14778es_ES
dc.relation.references10.11113/matematika.v35.n1.1062es_ES
dc.relation.references10.3390/math7100902es_ES
dc.relation.references10.1515/auom-2017-0001es_ES
dc.relation.references10.2298/FIL1719153Bes_ES
dc.relation.references10.1007/s40010-018-0553-zes_ES
dc.relation.references10.1007/s40840-015-0136-yes_ES
dc.relation.references10.1016/j.camwa.2012.04.017es_ES
dc.relation.references10.1155/S0161171283000265es_ES
dc.relation.references10.1007/BF01978850es_ES
dc.relation.references10.1140/epjp/i2017-11656-8es_ES
dc.relation.references10.1515/math-2017-0128es_ES
dc.relation.references10.2478/v10157-011-0023-2es_ES
dc.relation.references10.2307/2371812es_ES
dc.relation.references10.1090/S0002-9947-1946-0015126-6es_ES
dc.relation.references10.3390/math8030429es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectTopological hyperringes_ES
dc.subjectQuotient hyperringes_ES
dc.subjectTopological isomorphismes_ES
dc.titleTopological Krasner hyperrings with special emphasis on isomorphism theoremses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid1e7efd0c-bc63-4d9b-9c58-aae5f8d84d20es_ES

Archivos

Bloque original

Mostrando 1 - 1 de 1
Cargando...
Miniatura
Nombre:
SinghaDas - Topological Krasner hyperrings with special emphasis on isomorphism theorems.pdf
Tamaño:
375.64 KB
Formato:
Adobe Portable Document Format
Descripción:
Versión editorial