Other language title
ﯾﺎدداﺷﺖ ﮐﻮﺗﺎﻫﯽ در ﻣﻮرد رﺳﺘﻪﻫﺎي ﻣﻌﺎدل از ﺷﺒﻪ EMV-ﺟﺒﺮﻫﺎي ﺳﺮه ﺿﻌﯿﻒ
Title of article
A short note on categorical equivalences of proper weak pseudo EMV-algebras
Author/Authors
Dvurečenskij, A 1Mathematical Institute - Slovak Academy of Sciences, Slovakia
Pages
10
From page
35
To page
44
Abstract
We study the class of weak pseudo EMV-algebras without top element that are a non-commutative generalization of MValgebras,
pseudo MV-algebras and generalized Boolean algebras. We present their categorical equivalences to a special
category of pseudo MV-algebras with a fixed maximal and normal ideal as well as to a special category of unital ℓ-groups with
a fixed maximal and normal ℓ-ideal.
Farsi abstract
ﭼﮑﯿﺪه . در اﯾﻦ ﻣﻘﺎﻟﻪ، ﺷﺒﻪ EMV-ﺟﺒﺮﻫﺎي ﺿﻌﯿﻒ، ﺑﺪون ﺑﺰرﮔﺘﺮﯾﻦ ﻋﻀﻮ، را ﻣﻄﺎﻟﻌﻪ ﻣﯽﮐﻨﯿﻢ ﮐﻪ ﺗﻌﻤﯿﻢ ﻏﯿﺮﺟﺎﺑﻪﺟﺎﯾﯽ از MV-ﺟﺒﺮﻫﺎ، ﺷﺒﻪ MV-ﺟﺒﺮﻫﺎ و ﺟﺒﺮ ﺑﻮﻟﯽ ﺗﻌﻤﯿﻢ ﯾﺎﻓﺘﻪ اﺳﺖ. ﺳﭙﺲ رﺳﺘﻪﻫﺎي آن را ﮐﻪ ﺑﺎ -l ﺟﺒﺮﻫﺎ ﺑﺎ ﯾﮏ اﯾﺪهآل ﻣﺎﮐﺴﯿﻤﺎل و ﻧﺮﻣﺎل ﺛﺎﺑﺖ و ﻫﻤﭽﻨﯿﻦ رﺳﺘﻪ ﺧﺎﺻﯽ از-MV ﯾﮏ رﺳﺘﻪ ﺧﺎﺻﯽ از ﺷﺒﻪ ﮔﺮوهﻫﺎي واﺣﺪ ﺑﺎ ﯾﮏ l-اﯾﺪه آل ﻣﺎﮐﺴﯿﻤﺎل و ﻧﺮﻣﺎل ﺛﺎﺑﺖ ﻣﻌﺎدل ﻫﺴﺘﻨﺪ، را اراﺋﻪ ﻣﯽﮐﻨﯿﻢ.
Keywords
Weak pseudo EMV-algebra , pseudo MV-algebra , idempotent element , representation of wPEMV-algebras , proper wPEMV-algebra , associated wPEMV-algebra , categorial equivalence , unital l-group
Journal title
Journal of Algebraic Hyperstructures and Logical Algebras
Serial Year
2022
Record number
2711995
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