On semigroups having a kernel
نویسندگان
چکیده
منابع مشابه
Fundamental Semigroups Having a Band of Idempotents
The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider are weakly B-abundant and satisfy the congruence condition (C). Any orthodox semigroup S with E(S) ...
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The intersection of all two-sided ideals of an ordered semigroup, if it is non-empty, is called the kernel of the ordered semigroup. A left ideal L of an ordered semigroup (S, ·,≤) having a kernel I is said to be simple if I is properly contained in L and for any left ideal L′ of (S, ·,≤), I is properly contained in L′ and L′ is contained in L imply L′ = L. The notions of simple right and two-s...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1951
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1951.100031