학술논문
CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA
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- 영문명
- CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA
- 발행기관
- 충청수학회
- 저자명
- 송영권(Youngkwon Song)
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 36, No. 4, 255~265쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2023.11.30
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국문 초록
영문 초록
The purpose of this article is to construct a unital 8 dimensional hypercomplex number system H8∗ that is neither alternative nor commutative unlike the octonions by means of the unital 4 dimensional, commutative, and nonassociative hypercomplex number system H∗. We also establish some algebraic properties related to H∗8 and compare to those of octonions.
목차
1. Introduction
2. Eight dimensional nonalternative, noncommutative algebra
3. Matrices in Mn×n(H∗8)
References
해당간행물 수록 논문
- ON LIFTING Ckf -STRUCTURES
- SELF-MAPS ON M(Zq, n + 2) ∨ M(Zq, n + 1) ∨ M(Zq, n)
- FIXED POINTS OF COUNTABLY CONDENSING MULTIMAPS HAVING CONVEX VALUES ON QUASI-CONVEX SETS
- ON ADDITIVE MAPPINGS WITH BOUNDED VALUE NEAR A POINT
- CONSTRUCTION OF AN EIGHT DIMENSIONAL NONALTERNATIVE, NONCOMMUTATIVE ALGEBRA
- SEMIALGEBRAIC ORBIT STRUCTURES
- HOLOMORPHIC ANOMALY EQUATION FOR THE HODGE-GROMOV-WITTEN INVARIANTS OF ELLIPTIC CURVES
- A RATIONAL HOMOLOGY DISK SMOOTHING OF Wp,q,r
- DISCRETE VOLUME OF THE POSET POLYTOPE FOR A VARIANT OF UP-DOWN POSETS
- RATIONAL PERIOD FUNCTIONS FOR Γ+0 (3) WITH POLES ONLY AT 0
참고문헌
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