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Two New Families of Commutative Semifields
Author(s) -
Prince Alan R.
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300007165
Subject(s) - mathematics , commutative property , prime (order theory) , order (exchange) , commutative ring , mathematics subject classification , subject (documents) , combinatorics , pure mathematics , library science , computer science , business , finance
Two new families of commutative semifields of order q 4 with middle nucleus GF( q 2 ), where q is an odd prime power, are defined. One family occurs when q ≡ 3(mod 4) and the other when q ≡ 1(mod 4). 1991 Mathematics Subject Classification 17A35, 12K10.