Int-soft interior ideals of semigroups
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DUDEK, Wieslaw, JUN, Young-Bae. Int-soft interior ideals of semigroups. In: Quasigroups and Related Systems, 2014, vol. 22, nr. 2(32), pp. 201-208. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 22, Numărul 2(32) / 2014 / ISSN 1561-2848

Int-soft interior ideals of semigroups

Pag. 201-208

Dudek Wieslaw1, Jun Young-Bae2
 
1 Wroclaw Technical University,
2 Gyeongsang National University
 
 
Disponibil în IBN: 6 mai 2016


Rezumat

The soft version of interior ideals in semigroups is considered. The notion of an int-soft interior ideal is introduced, and related properties are investigated. A relation between an int-soft ideal and an int-soft interior ideal is provided, and conditions for an int-soft interior ideal to be an int-soft two-sided ideal are given. Characterizations of int-soft interior ideals are discussed. Using the notion of int-soft left (right) ideals, characterizations of a left (right) simple semigroup are provided. The int-soft interior ideal generated by a soft set is established.