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Factorizable
semigroups
Kenneth Tolo |
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Vol. 31 (1969), No. 2, 523–535
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Abstract |
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A multiplicative semigroup S is said to be factorizable if it can be written as the set product AB of proper subsemigroups A and B. If this is possible, AB is called a factorization of S, with factors A and B. The factors are not required to be unique. The following problems have been considered: (I) Given a factorizable semigroup S = AB, where A and B are members of the semigroup classes P and Q, respectively (P and Q not necessarily distinct), to what semigroup class does S belong? (II) What are sufficient conditions for the factorizability of a semigroup? (III) Can the concept of factorizability be used in characterizing direct products of semigroups? |
Mathematical Subject Classification
Primary: 20.93
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Milestones
Received: 6 November 1968
Published: 1 November 1969
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Authors |
| Kenneth Tolo | |
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