id	sid	eid	entity	type
ejpam-6141	1	1	european journal	ORG
ejpam-6141	1	2	2025	DATE
ejpam-6141	1	3	18	CARDINAL
ejpam-6141	1	4	2	CARDINAL
ejpam-6141	1	5	6141	CARDINAL
ejpam-6141	1	6	1307-5543	DATE
ejpam-6141	1	7	new york	GPE
ejpam-6141	1	8	latin	NORP
ejpam-6141	1	9	mohammad ali dehghanizadeh1,∗	PERSON
ejpam-6141	1	10	saeed mirvakili2 1	PERSON
ejpam-6141	1	11	national university of skills(nus	ORG
ejpam-6141	1	12	tehran	GPE
ejpam-6141	1	13	iran	GPE
ejpam-6141	1	14	2	CARDINAL
ejpam-6141	1	15	yazd university	ORG
ejpam-6141	1	16	yazd	GPE
ejpam-6141	1	17	iran	GPE
ejpam-6141	1	18	ali akbar mohammadi hassanabadi	PERSON
ejpam-6141	1	19	80th	ORDINAL
ejpam-6141	3	1	latin square	LOC
ejpam-6141	5	1	hypergroups	GPE
ejpam-6141	7	1	2020	DATE
ejpam-6141	7	2	20n20	CARDINAL
ejpam-6141	7	3	latin	LANGUAGE
ejpam-6141	7	4	1	CARDINAL
ejpam-6141	9	1	1	CARDINAL
ejpam-6141	9	2	2	CARDINAL
ejpam-6141	10	1	one	CARDINAL
ejpam-6141	10	2	latin	NORP
ejpam-6141	11	1	recent years	DATE
ejpam-6141	11	2	hypergroups	GPE
ejpam-6141	12	1	3	CARDINAL
ejpam-6141	12	2	latin	NORP
ejpam-6141	13	1	latin	NORP
ejpam-6141	13	2	arabic	LANGUAGE
ejpam-6141	14	1	the 18th century	DATE
ejpam-6141	14	2	leonhard euler’s	PERSON
ejpam-6141	14	3	36	CARDINAL
ejpam-6141	15	1	latin	NORP
ejpam-6141	15	2	1	CARDINAL
ejpam-6141	15	3	2	DATE
ejpam-6141	15	4	4	CARDINAL
ejpam-6141	17	1	mdehghanizadeh@nus.ac.ir	PERSON
ejpam-6141	17	2	m. a. dehghanizadeh	PERSON
ejpam-6141	17	3	saeedmirvakili@yazd.ac.ir	PERSON
ejpam-6141	17	4	s. mirvakili	PERSON
ejpam-6141	18	1	1	CARDINAL
ejpam-6141	18	2	2025	CARDINAL
ejpam-6141	19	1	m. a. dehghanizadeh	PERSON
ejpam-6141	19	2	s. mirvakili	PERSON
ejpam-6141	20	1	j. pure	PERSON
ejpam-6141	20	2	18	CARDINAL
ejpam-6141	20	3	2	CARDINAL
ejpam-6141	20	4	2025	CARDINAL
ejpam-6141	20	5	6141 2	CARDINAL
ejpam-6141	20	6	10	CARDINAL
ejpam-6141	21	1	the 20th century	DATE
ejpam-6141	21	2	latin	NORP
ejpam-6141	21	3	r. a. fisher’s	PERSON
ejpam-6141	21	4	latin	NORP
ejpam-6141	21	5	property)[1	NORP
ejpam-6141	21	6	2	CARDINAL
ejpam-6141	21	7	4	CARDINAL
ejpam-6141	22	1	latin	NORP
ejpam-6141	22	2	latin	NORP
ejpam-6141	22	3	latin	NORP
ejpam-6141	23	1	three	CARDINAL
ejpam-6141	25	1	algebraic systems	ORG
ejpam-6141	25	2	latin	NORP
ejpam-6141	26	1	quasigroups	ORG
ejpam-6141	27	1	algebraic	PERSON
ejpam-6141	28	1	the mid-20th century	DATE
ejpam-6141	29	1	f. marty	PERSON
ejpam-6141	29	2	1934	DATE
ejpam-6141	29	3	two	CARDINAL
ejpam-6141	33	1	latin square	LOC
ejpam-6141	34	1	hypergroups	GPE
ejpam-6141	37	1	2	CARDINAL
ejpam-6141	37	2	9	CARDINAL
ejpam-6141	40	1	latin	NORP
ejpam-6141	41	1	m. a. dehghanizadeh	PERSON
ejpam-6141	41	2	s. mirvakili	PERSON
ejpam-6141	42	1	j. pure	PERSON
ejpam-6141	42	2	18	CARDINAL
ejpam-6141	42	3	2	CARDINAL
ejpam-6141	42	4	2025	CARDINAL
ejpam-6141	42	5	6141 3	DATE
ejpam-6141	42	6	10	CARDINAL
ejpam-6141	42	7	8	CARDINAL
ejpam-6141	43	1	hypergroupoid	GPE
ejpam-6141	43	2	hyperstructure	GPE
ejpam-6141	43	3	⋃	DATE
ejpam-6141	45	1	≈	CARDINAL
ejpam-6141	45	2	∈	ORG
ejpam-6141	46	1	z. moreover	PERSON
ejpam-6141	46	2	∈	ORG
ejpam-6141	48	1	≈	CARDINAL
ejpam-6141	49	1	∈	ORG
ejpam-6141	50	1	≈	CARDINAL
ejpam-6141	53	1	two	CARDINAL
ejpam-6141	53	2	∈	ORG
ejpam-6141	53	3	∈	ORG
ejpam-6141	54	1	≈	CARDINAL
ejpam-6141	54	2	≈	CARDINAL
ejpam-6141	54	3	1	CARDINAL
ejpam-6141	56	1	aij ⊆	ORG
ejpam-6141	56	2	1 ≤	CARDINAL
ejpam-6141	57	1	aij	PRODUCT
ejpam-6141	57	2	1	CARDINAL
ejpam-6141	57	3	aii	PERSON
ejpam-6141	57	4	aij	PERSON
ejpam-6141	58	1	aij	ORG
ejpam-6141	58	2	latin square	LOC
ejpam-6141	59	1	2	CARDINAL
ejpam-6141	61	1	aij ⊆	ORG
ejpam-6141	61	2	1 ≤	CARDINAL
ejpam-6141	61	3	latin	NORP
ejpam-6141	61	4	k-hypersquare	ORG
ejpam-6141	61	5	1	CARDINAL
ejpam-6141	61	6	2	CARDINAL
ejpam-6141	62	1	y = axy	PERSON
ejpam-6141	62	2	m. a. dehghanizadeh	PERSON
ejpam-6141	62	3	s. mirvakili	PERSON
ejpam-6141	63	1	j. pure	PERSON
ejpam-6141	63	2	18	CARDINAL
ejpam-6141	63	3	2	CARDINAL
ejpam-6141	63	4	2025	CARDINAL
ejpam-6141	63	5	6141 4	DATE
ejpam-6141	63	6	10	CARDINAL
ejpam-6141	63	7	2	CARDINAL
ejpam-6141	64	1	1	CARDINAL
ejpam-6141	64	2	latin k-hypersquare	PERSON
ejpam-6141	65	1	latin	NORP
ejpam-6141	65	2	2-hypersquare	DATE
ejpam-6141	66	1	1	CARDINAL
ejpam-6141	66	2	xβny ⇔	PERSON
ejpam-6141	69	1	{x	PERSON
ejpam-6141	69	2	⊆	CARDINAL
ejpam-6141	69	3	i=1 zi.	PERSON
ejpam-6141	71	1	hypergroupoid	GPE
ejpam-6141	73	1	⇔ ∃u	PERSON
ejpam-6141	73	2	⊆	CARDINAL
ejpam-6141	75	1	1	CARDINAL
ejpam-6141	76	1	81	CARDINAL
ejpam-6141	76	2	5	CARDINAL
ejpam-6141	76	3	1	CARDINAL
ejpam-6141	78	1	3	CARDINAL
ejpam-6141	79	1	hypergroupoid	GPE
ejpam-6141	82	1	∀x	GPE
ejpam-6141	82	2	∈	ORG
ejpam-6141	83	1	3	CARDINAL
ejpam-6141	84	1	i. e.	PERSON
ejpam-6141	85	1	y = h.	ORG
ejpam-6141	87	1	4	CARDINAL
ejpam-6141	87	2	2	CARDINAL
ejpam-6141	89	1	∈	ORG
ejpam-6141	90	1	2	CARDINAL
ejpam-6141	93	1	z.	PERSON
ejpam-6141	93	2	m. a. dehghanizadeh	PERSON
ejpam-6141	93	3	s. mirvakili	PERSON
ejpam-6141	94	1	j. pure	PERSON
ejpam-6141	94	2	18	CARDINAL
ejpam-6141	94	3	2	CARDINAL
ejpam-6141	94	4	2025	CARDINAL
ejpam-6141	94	5	6141 5 of 10	DATE
ejpam-6141	94	6	4	CARDINAL
ejpam-6141	96	1	a1	PRODUCT
ejpam-6141	98	1	aij	PERSON
ejpam-6141	98	2	0	CARDINAL
ejpam-6141	98	3	1	CARDINAL
ejpam-6141	101	1	n − 1	ORG
ejpam-6141	102	1	k ∈	ORG
ejpam-6141	102	2	0	CARDINAL
ejpam-6141	102	3	1	CARDINAL
ejpam-6141	103	1	k aj = aih	ORG
ejpam-6141	103	2	j − k ≡ h	PERSON
ejpam-6141	104	1	0	CARDINAL
ejpam-6141	104	2	1	CARDINAL
ejpam-6141	109	1	1	CARDINAL
ejpam-6141	110	1	5	CARDINAL
ejpam-6141	112	1	a1	PRODUCT
ejpam-6141	114	1	aij	PERSON
ejpam-6141	114	2	0	CARDINAL
ejpam-6141	114	3	1	CARDINAL
ejpam-6141	116	1	n−1	ORG
ejpam-6141	117	1	k ∈	ORG
ejpam-6141	117	2	0	CARDINAL
ejpam-6141	117	3	1	CARDINAL
ejpam-6141	118	1	k aj = ahj	PERSON
ejpam-6141	119	1	j−k ≡ h mod n.	ORG
ejpam-6141	121	1	0	CARDINAL
ejpam-6141	121	2	1	CARDINAL
ejpam-6141	124	1	1	CARDINAL
ejpam-6141	126	1	rk	NORP
ejpam-6141	126	2	4 and 5	DATE
ejpam-6141	129	1	leth	PERSON
ejpam-6141	129	2	a1	PRODUCT
ejpam-6141	131	1	cn−1	NORP
ejpam-6141	131	2	y = h. proposition 2.	PERSON
ejpam-6141	132	1	rk	NORP
ejpam-6141	132	2	4 and 5	DATE
ejpam-6141	133	1	2	CARDINAL
ejpam-6141	138	1	2	CARDINAL
ejpam-6141	141	1	5	CARDINAL
ejpam-6141	143	1	m. a. dehghanizadeh	PERSON
ejpam-6141	143	2	s. mirvakili	PERSON
ejpam-6141	144	1	j. pure	PERSON
ejpam-6141	144	2	18	CARDINAL
ejpam-6141	144	3	2	CARDINAL
ejpam-6141	144	4	2025	CARDINAL
ejpam-6141	144	5	6141 6	CARDINAL
ejpam-6141	144	6	10	CARDINAL
ejpam-6141	146	1	4	CARDINAL
ejpam-6141	151	1	4	CARDINAL
ejpam-6141	157	1	y + x− 1	PERSON
ejpam-6141	158	1	y + x− k	PERSON
ejpam-6141	160	1	1	CARDINAL
ejpam-6141	163	1	∈	ORG
ejpam-6141	163	2	⊆	CARDINAL
ejpam-6141	163	3	⊆	CARDINAL
ejpam-6141	163	4	h. lemma	PERSON
ejpam-6141	164	1	2	CARDINAL
ejpam-6141	164	2	⊂	GPE
ejpam-6141	164	3	c1 ⊂	ORG
ejpam-6141	165	1	⊂	GPE
ejpam-6141	165	2	cn−2 ⊂ ◦	GPE
ejpam-6141	165	3	r0 ⊂	GPE
ejpam-6141	165	4	r1 ⊂	ORG
ejpam-6141	166	1	⊂	GPE
ejpam-6141	166	2	rn−2 ⊂ ◦	ORG
ejpam-6141	167	1	5	CARDINAL
ejpam-6141	168	1	3	CARDINAL
ejpam-6141	171	1	6	CARDINAL
ejpam-6141	172	1	3	CARDINAL
ejpam-6141	172	2	m. a. dehghanizadeh	PERSON
ejpam-6141	172	3	s. mirvakili	PERSON
ejpam-6141	173	1	j. pure	PERSON
ejpam-6141	173	2	18	CARDINAL
ejpam-6141	173	3	2	CARDINAL
ejpam-6141	173	4	2025	CARDINAL
ejpam-6141	173	5	6141 7	DATE
ejpam-6141	178	1	commutative hypergroups	ORG
ejpam-6141	179	1	7	CARDINAL
ejpam-6141	186	1	≈	CARDINAL
ejpam-6141	187	1	2	CARDINAL
ejpam-6141	187	2	1	CARDINAL
ejpam-6141	189	1	+ 1	DATE
ejpam-6141	189	2	2	CARDINAL
ejpam-6141	191	1	+ 1	DATE
ejpam-6141	191	2	3	CARDINAL
ejpam-6141	192	1	+ 1	DATE
ejpam-6141	192	2	m. a. dehghanizadeh	PERSON
ejpam-6141	192	3	s. mirvakili	PERSON
ejpam-6141	193	1	j. pure	PERSON
ejpam-6141	193	2	18	CARDINAL
ejpam-6141	193	3	2	CARDINAL
ejpam-6141	193	4	2025	CARDINAL
ejpam-6141	193	5	6141 8	DATE
ejpam-6141	193	6	10	CARDINAL
ejpam-6141	195	1	1	CARDINAL
ejpam-6141	196	1	1	CARDINAL
ejpam-6141	196	2	2	DATE
ejpam-6141	197	1	ck−1	ORG
ejpam-6141	197	2	latin k-hypersquare	PERSON
ejpam-6141	198	1	2	CARDINAL
ejpam-6141	198	2	2 +1	QUANTITY
ejpam-6141	200	1	hypergroups	GPE
ejpam-6141	200	2	3	CARDINAL
ejpam-6141	201	1	k ≥ |h|	GPE
ejpam-6141	201	2	2	CARDINAL
ejpam-6141	205	1	k ≥ n 2 .	ORG
ejpam-6141	205	2	∈	ORG
ejpam-6141	205	3	1	CARDINAL
ejpam-6141	205	4	2	CARDINAL
ejpam-6141	207	1	ai0	PERSON
ejpam-6141	207	2	ai2	PERSON
ejpam-6141	210	1	∈	ORG
ejpam-6141	210	2	3	CARDINAL
ejpam-6141	210	3	2	CARDINAL
ejpam-6141	210	4	0	CARDINAL
ejpam-6141	210	5	2	DATE
ejpam-6141	213	1	aij	PRODUCT
ejpam-6141	216	1	4	CARDINAL
ejpam-6141	217	1	k ≥ |h|	GPE
ejpam-6141	217	2	2	CARDINAL
ejpam-6141	219	1	3	CARDINAL
ejpam-6141	219	2	lemma 1 (	ORG
ejpam-6141	220	1	8	CARDINAL
ejpam-6141	221	1	4	DATE
ejpam-6141	222	1	7	CARDINAL
ejpam-6141	223	1	5	CARDINAL
ejpam-6141	224	1	i. e.	PERSON
ejpam-6141	225	1	0	CARDINAL
ejpam-6141	225	2	1	CARDINAL
ejpam-6141	227	1	1	CARDINAL
ejpam-6141	228	1	9	CARDINAL
ejpam-6141	230	1	m. a. dehghanizadeh	PERSON
ejpam-6141	230	2	s. mirvakili	PERSON
ejpam-6141	231	1	j. pure	PERSON
ejpam-6141	231	2	18	CARDINAL
ejpam-6141	231	3	2	CARDINAL
ejpam-6141	231	4	2025	CARDINAL
ejpam-6141	231	5	6141 9	DATE
ejpam-6141	231	6	10	CARDINAL
ejpam-6141	232	1	6	CARDINAL
ejpam-6141	234	1	0	CARDINAL
ejpam-6141	234	2	1	CARDINAL
ejpam-6141	236	1	1	CARDINAL
ejpam-6141	242	1	1	CARDINAL
ejpam-6141	242	2	0	CARDINAL
ejpam-6141	242	3	2	CARDINAL
ejpam-6141	242	4	0	CARDINAL
ejpam-6141	245	1	0	CARDINAL
ejpam-6141	245	2	i=1 zi	PERSON
ejpam-6141	248	1	∈	ORG
ejpam-6141	257	1	⊆	CARDINAL
ejpam-6141	257	2	⊆	CARDINAL
ejpam-6141	261	1	2	CARDINAL
ejpam-6141	261	2	0	CARDINAL
ejpam-6141	261	3	1	CARDINAL
ejpam-6141	263	1	1	CARDINAL
ejpam-6141	263	2	1	CARDINAL
ejpam-6141	263	3	2	CARDINAL
ejpam-6141	264	1	6	CARDINAL
ejpam-6141	265	1	∈	ORG
ejpam-6141	265	2	the hypergroupoid (h	ORG
ejpam-6141	267	1	8	CARDINAL
ejpam-6141	268	1	k = |h|	PERSON
ejpam-6141	268	2	2	CARDINAL
ejpam-6141	272	1	∈	ORG
ejpam-6141	274	1	3	CARDINAL
ejpam-6141	277	1	5	CARDINAL
ejpam-6141	277	2	8	CARDINAL
ejpam-6141	277	3	1	CARDINAL
ejpam-6141	279	1	m. a. dehghanizadeh	PERSON
ejpam-6141	279	2	s. mirvakili	PERSON
ejpam-6141	280	1	j. pure	PERSON
ejpam-6141	280	2	18	CARDINAL
ejpam-6141	280	3	2	CARDINAL
ejpam-6141	280	4	2025	CARDINAL
ejpam-6141	280	5	6141 10	DATE
ejpam-6141	280	6	latin	NORP
ejpam-6141	282	1	hypergroups	GPE
ejpam-6141	288	1	10	CARDINAL
ejpam-6141	289	1	11	CARDINAL
ejpam-6141	290	1	1	CARDINAL
ejpam-6141	291	1	latin	NORP
ejpam-6141	292	1	academic press inc, 1974	ORG
ejpam-6141	293	1	2	CARDINAL
ejpam-6141	295	1	hall/crc	ORG
ejpam-6141	295	2	2017	DATE
ejpam-6141	296	1	3	CARDINAL
ejpam-6141	297	1	latin square	LOC
ejpam-6141	298	1	j. appl	PERSON
ejpam-6141	299	1	22(1-2):285–293	CARDINAL
ejpam-6141	299	2	2006	DATE
ejpam-6141	300	1	4	CARDINAL
ejpam-6141	300	2	o	DATE
ejpam-6141	301	1	quasigroups	ORG
ejpam-6141	302	1	berlin	GPE
ejpam-6141	302	2	1990	DATE
ejpam-6141	303	1	5	CARDINAL
ejpam-6141	305	1	aviani editore	PERSON
ejpam-6141	305	2	aviani editore	PERSON
ejpam-6141	305	3	1993	DATE
ejpam-6141	306	1	6	CARDINAL
ejpam-6141	308	1	kluwer	ORG
ejpam-6141	308	2	2003	DATE
ejpam-6141	310	1	semihypergroup	NORP
ejpam-6141	311	1	2016	DATE
ejpam-6141	312	1	8	CARDINAL
ejpam-6141	314	1	pte. ltd.	ORG
ejpam-6141	314	2	hackensack	GPE
ejpam-6141	314	3	nj	GPE
ejpam-6141	314	4	2019	DATE
ejpam-6141	315	1	9	CARDINAL
ejpam-6141	317	1	university of michigan press	ORG
ejpam-6141	317	2	1971	DATE
ejpam-6141	318	1	10	CARDINAL
ejpam-6141	318	2	y al-deiakeh	PERSON
ejpam-6141	319	1	algebras	ORG
ejpam-6141	320	1	european journal	ORG
ejpam-6141	320	2	17(4):3291	CARDINAL
ejpam-6141	320	3	3303	CARDINAL
ejpam-6141	320	4	2024	DATE
ejpam-6141	321	1	11	CARDINAL
ejpam-6141	323	1	italian	NORP
ejpam-6141	323	2	47:958–970	CARDINAL
ejpam-6141	323	3	2022	CARDINAL