Neutrosophic Hyperideals of Semihyperrings

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1 Nuooph m Vol Uv o Nw Mo Nuooph Hpl o mhpg D Ml Dpm o Mhm j P Moh Collg Up Hooghl-758 A. h pp w hv ou uooph hpl o mhpg o om opo o hm o u oo pop. Kwo: C Pou Compoo l o Nuooph mhpmg. ouo Hpg h ll oo o g uug oh o ol o o h opo o o mulplo hpopo. Hpg w ou vl uho w. ol h o hpopo h mulplo opo h w h K hpg [4]. Dvv [5] h om lo hpg pov omophm hom. o mo omphv ouo ou hpg w o [9]. A glo o g mg w ou Vv [7] 934. A mg uu ; ; ;0 wh wo opo uh h ; ;0 ommuv mgoup ; mgoup mulplo uv om oh ov o o ll. [8] Vougoukl gl h oo o hpg m mhpg wh oh h o mulplo hpopo. mhpg glo o K hpg. No h mg wh o mhpg. Dvv [] u h oo o mhpg gl om. Hpuu pul hpgoup w ou 934 M [] h ghh og o v Mhm. h oo o lg hpuu h vlop h ollowg ow m uho pll Co [ 3] Dvv [ ] M [] pl [5] gopoulo [6] Vougoukl [9]. B o oo og hpuu ho ou []. h op o u ou Zh h ll pp [0] pov ul mwok o glg om o h oo o ll lg uu.a glo o u h uo u w ou Aov [] 986 wh h g o mmhp o h lm h w o g o o-mmhp wh mmhp vlu + o-mmhp vlu. h lo vl wll-kow ho o ough vgu vl-vlu. whh o mhml ool o lg wh u. 005 p om h po gm wg// g vo om /NA /oom o mkgmkg o/ hg/o mkg om p /pg /j. gu h h h lw o lu ml o wok log h mo log. mh [4] om h o l [88] wh -ompo log//pol ho wh phlooph ou Nuooph whh p h m o w u uo u log/. H h lu h ml ompo.. h ul/ m/ ukow p h uh/mmhp lhoo/o-mmhp ompo h oh pp u log/ o guh w olu mmhp lv mmhp o olu ommhp lv o-mmhp. Ug h op h pp w hv uooph l o mhpg u om o pop. Plm L H o-mp l P H h o ll o-mp u o H. A hpopo o H mp : H H P H h oupl H ll hpgoupo. A B o-mp u o H H h w o A B A B D Ml Nuooph Hpl o mhpg

2 Nuooph m Vol A } A A A}. A hpgoupo H ll mhpgoup o ll H w hv whh m h u v. u v A mhpg lg uu ; ; whh h ollowg pop: ; ommuv mhpgoup ; mhpgoup Mulplo uv wh p o hpopo + h v o ll. A mhpg ; ; ll ommuv ol o ll. Vougoukl [8] Dvv [6] u h oo o mhpg gl om.. oh h um pou hpopo. A mhpg ; ; h o ll wh. uh h. A omp u o mhpg ; ;. A l hpl o mhpg A lm ll u-mhpg o ll m ll u h o-mp u o g h h. A gh hpl o logou m hpl o omp u whh oh l hpl gh hpl o. o mo ul o mhpg uooph w o [6 0] [4] pvl. 3. M ul Do 3.. [4] A uooph A o h uv o ou X A : A A A X} wh A A A : X ] 0[ 0 A A A 3. om phloophl po o vw h uooph k h vlu om l o o- u o ] 0[. Bu l l pplo gg polm ul o u uooph wh vlu om l o o- u o ] 0[. H w o h uooph whh k h vlu om h u o [0 ]. houghou h o ul ohw mo o mhpg. Do 3.. L o mp uooph u o mhpg.. o o o o qul o o o om.h ll uooph l hpl o m } m } v v v. o ll. mll w uooph gh hpl o. Empl 3.3. L 0 } wh h hpopo h mulplo ollow: } 0} 0} D Ml Nuooph Hpl o mhpg

3 Nuooph m Vol h mhpg. D uooph u o h uooph l hpl o. hom 3.4. A uooph o uooph l hpl o ol lvl u : : [0.]} : : [0.]} : : [0.]} l hpl o. Poo. Aum h h uooph o uooph l hpl o. h o o o o qul o o o om.. oh wo o o o mp o om [0] o. o u o o h ll o hm o mp. uppo.h m } m } m } m } whh mpl Alo H. ho... l hpl o. Covl po l hpl o. pol o uooph l hpl. h o o o h ollowg qul u. m } m } o h qul hoo [ m }]. h m } whh mpl u - oo. o h o qul hoo [ m }]. h whh mpl u - oo. o h h qul hoo 3 [ m }]. h 3 m } mpl u 3 3 whh - oo. o w hv oo o h h l hpl o. H h ul ollow. Do 3.5. L wo uooph u o. h o o m } m } m } o ll. Popoo 3.6. o o omp ollo o uooph l hpl uooph l hpl o. Poo. L : } o-mp ml o uooph l hpl o. h D Ml Nuooph Hpl o mhpg

4 Nuooph m Vol. 06 D Ml Nuooph Hpl o mhpg }} m } m } m. }} m } m } m H uooph l hpl o. Do 3.7. L mhpg : uo. h o homomophm o ll 0 0 wh 0 0 h o o pvl. Popoo 3.8. L : mophm o mhpg. h uooph l hpl o h [3] uooph l hpl o. ujv mophm uooph l hpl o h [3] uooph l hpl o. Poo. L : mophm o mhpg. L uooph l hpl o. } m } m. 08

5 Nuooph m Vol. 06 D Ml Nuooph Hpl o mhpg. } m } m. Ag... hu uooph l hpl o. uppo uooph l hpl o. h }} m } m } m. ] [ ] [. }} m } m } m. Ag. 09

6 Nuooph m Vol. 06 D Ml Nuooph Hpl o mhpg. hu uooph l hpl o. Do 3.9. L wo uooph u o. h h C pou o } m } m o ll. hom 3.0. L wo uooph l hpl o. h uooph l hpl o. Poo. L. h } m }} }m mm }} m } mm } m. ] [ ] [ ] [. } m }} }m mm }} m } mm } m. } m } m.. } m 0

7 Nuooph m Vol. 06 D Ml Nuooph Hpl o mhpg } m. H uooph l hpl o. Do 3.. L wo uooph o mg. D ompoo o }} m 0 o p ov 0 o p ov }} m 0 o p ov wh o.... hom 3.. wo uooph l hpl o h uooph l hpl o. Poo. uppo wo uooph hpl o. o h h ohg o poo. o um h o. h }} m }} m }} mm }}} m } m 4 [ ] }} m }} m }} mm }}} m

8 Nuooph m Vol. 06 m } m }} m m }} }} ] m }} m }} m }}}. H uooph l hpl o. Coluo h h ouo pp o uooph hpl o mhpg h o mh[4]. Ou m o u h ul o u om oh pop uh pm uooph hpl mpm uooph hpluooph -hpl uooph qu-hpl l. Akowlgm: h uho hghl hkul o h l h Eo o h vlul omm. [] K. Aov uo u u m [] P. Co Polgom o Hpgoup ho o o Av Eo l 993. [3] P. Co V. Lou Applo o Hpuu ho" Av. Mh. Kluw Am Pulh Doh 003. [4] M. K A l o hpg hpl. J. Mh. Mh [5] B. Dvv omophm hom o hpg J. Pu Appl. Mh [6] B. Dvv g v om mhpg Alg Goup Gom [7] B. Dvv om ul o ogu mhpgoup Bull. Ml. Mh.. o [8] B. Dvv Polgoup ho l m" Wol pulhg Co. P. L. Hkk NJ 03. [9] B. Dvv V. Lou-o Hpg ho Applo" ol Am P Plm Ho UA 007. [0] B. Dvv. Om B oo pop o o mhpg Cgo Gl Alg uu wh Applo 4 06 p. []. M u u glo l oo goup 8m Cog Mh. v okholm [] J. M Hpgoup oqu Mh. Blk [3] A. ol u goup J. Mh. Al. Appl [4]. mh Nuooph glo o h uo u.j. Pu Appl. Mh [5]. pl A l o hpg v M. Pu Appl D Ml Nuooph Hpl o mhpg

9 Nuooph m Vol [6] D. gopoulo Hpu hpop hpmoul hpp vol lu pop lm C.. A.. P A [7] H.. Vv No o mpl p o lg whh llo lw o o o o hol Bull. Am. Mh. o [8]. Vougoukl O om po o hpgoup A.. Uv. Clmo Mh [9]. Vougoukl Hpuu h po" Ho P. lo 994. [0] L. A. Zh u omo Cool v: Apl Ap: M 3 06 D Ml Nuooph Hpl o mhpg

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