Semigroups in which 2-absorbing ideals are prime and maximal
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2023-07-01 23:06
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KHANRA, Biswaranjan, MANDAL, Manasi. Semigroups in which 2-absorbing ideals are prime and maximal. In: Quasigroups and Related Systems, 2021, vol. 29, nr. 2(46), pp. 213-222. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 29, Numărul 2(46) / 2021 / ISSN 1561-2848

Semigroups in which 2-absorbing ideals are prime and maximal


Pag. 213-222

Khanra Biswaranjan, Mandal Manasi
 
Jadavpur University
 
 
Disponibil în IBN: 30 octombrie 2022


Rezumat

We characterize commutative semigroups in which 2-absorbing ideals are maximal. We introduce the concept of 2-AB semigroups in which 2-absorbing ideals are prime and characterize 2-AB semigroups in terms of minimal prime ideal over a 2-absorbing ideal and study some properties of these semigroups.