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ON STRONGLY REGULAR NEAR-SUBTRACTION SEMIGROUPS
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 Title & Authors
ON STRONGLY REGULAR NEAR-SUBTRACTION SEMIGROUPS
Dheena, P.; Kumar, G. Satheesh;
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 Abstract
In this paper we introduce the notion of strongly regular near-subtraction semigroups (right). We have shown that a near-subtraction semigroup X is strongly regular if and only if it is regular and without non zero nilpotent elements. We have also shown that in a strongly regular near-subtraction semigroup X, the following holds: (i) Xa is an ideal for every a X (ii) If P is a prime ideal of X, then there exists no proper k-ideal M such that P M (iii) Every ideal I of X fulfills .
 Keywords
subtraction semigroup;near-subtraction semigroup;regular;strongly regular;
 Language
English
 Cited by
1.
WEAKLY PRIME LEFT IDEALS IN NEAR-SUBTRACTION SEMIGROUPS,;;

대한수학회논문집, 2008. vol.23. 3, pp.325-331 crossref(new window)
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