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Connections between MVn algebras and n-valued Lukasiewicz-Moisil algebras Part I

Afrodita Iorgulescu
1998 Discrete Mathematics  
I introduce in the MV, algebras of Revaz Grigolia two chains of unary operations, which are key in establishing many connections between these algebras and n-valued Lukasiewicz-Moisil algebras (LM, algebras  ...  The main result of the second part is that, for n >/5, any MVn algebra is an LMn algebra and the converse is not true.  ...  Acknowledgements All my gratitude to Professor Sergiu Rudeanu for his patient reading of the manuscript and for his useful suggestions.  ... 
doi:10.1016/s0012-365x(97)00052-6 fatcat:aum7h5q6jfhqrm23ufh623ympi

Connections between MVn algebras and n-valued Lukasiewicz-Moisil algebras — II

Afrodita Iorgulescu
1999 Discrete Mathematics  
I introduce in the MV, algebras of Revaz Grigolia two chains of unary operations, which are the key in establishing many connections between these algebras and n-valued Lukasiewicz-Moisil algebras (LM,  ...  @-proper LM, algebras coincide (can be identified) with Cignoli's proper n-valued Lukasiewicz algebras. MV, algebras coincide with good LM, algebras and with @-proper LM, algebras (n >2).  ...  Acknowledgements All my gratitude to Professor Sergiu Rudeanu for his extraordinary patience in reading of the manuscript and for his very useful suggestions.  ... 
doi:10.1016/s0012-365x(98)00289-1 fatcat:ez7h26hsebfjphdgrefql5bz6u