Isomorphisms of certain $(4k-1)$-diagonal algebras $AlgL^{(4k-1)}_{2n}$ and $AlgL^{(4k-1)}_{2n+1}$

Taeg Young Choi; Si-Ju Kim

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Commun. Korean Math. Soc. 1997; 12(3): 631-643

Printed September 1, 1997

Isomorphisms of certain $(4k-1)$-diagonal algebras $AlgL^{(4k-1)}_{2n}$ and $AlgL^{(4k-1)}_{2n+1}$

Taeg Young Choi, Si-Ju Kim

Andong National University, Andong National University

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Abstract

In this paper, we introduce $(4k-1)$-diagonal algebras \newline $Alg{\Cal L}_{2n}^{(4k-1)}$ and $Alg{\Cal L}_{2n+1}^{(4k-1)}$ and investigate necessary and sufficient conditions that isomorphisms of $Alg{\Cal L}_{2n}^{(4k-1)}$ and $Alg{\Cal L}_{2n+1}^{(4k-1)}$ are spatially implemented.

Keywords: $(4k-1)$-diagonal algebra, isomorphism, spatially imple-mented

MSC numbers: 47D25