Interior relative ideals in quasi-ordered semigroups
Abstract
The concept of relative ideal in a semigroup was introduced in 1962 by A. D. Wallace. This concept was further developed by R. Hrmov\' a (1967), and later by M. F. Ali, N. M. Khan and A. Mahboob (2020).
In this paper, the notions of interior relative $T$-ideals and interior relative $(H_{1},H_{2})$-ideals
in quasi-ordered semigroups are introduced and some fundamental properties of these ideals are studied. Also, among other things, the paper discusses about the minimality of interior relative ideals in such semigroups.
In this paper, the notions of interior relative $T$-ideals and interior relative $(H_{1},H_{2})$-ideals
in quasi-ordered semigroups are introduced and some fundamental properties of these ideals are studied. Also, among other things, the paper discusses about the minimality of interior relative ideals in such semigroups.
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