On closedness of right(left) normal bands and left(right) quasinormal bands
Publish Year: 1402
Type: Journal paper
Language: English
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Document National Code:
JR_ASYAZDT-10-2_001
Index date: 23 June 2023
On closedness of right(left) normal bands and left(right) quasinormal bands abstract
It is well known that all subvarieties of the variety of all semigroups are not absolutely closed. So, it is worth to find subvarieties of the variety of all semigroups that are closed in itself or closed in the containing varieties of semigroups. We have gone through this open problem and able to determine that the varieties of right~[left] normal bands and left~[right] quasinormal bands are closed in the varieties of semigroups defined by the identities axy = xa^ny~[axy = ay^nx],~axy = x^nay~[axy = ayx^n] (n>1); and axy=ax^nay~[axy=ayx^ny]~ (n>1), axy=a^nxa^ry [axy=ay^rxy^n] (n,r\in \mathbb{N}), respectively.
On closedness of right(left) normal bands and left(right) quasinormal bands Keywords:
On closedness of right(left) normal bands and left(right) quasinormal bands authors
Shabnam Abbas
Department of mathematics, Aligarh Muslim University, Aligarh-۲۰۲۰۰۲, India.
Wajih Ashraf
Department of mathematics, Aligarh Muslim University, Aligarh-۲۰۲۰۰۲, India.
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