Glasnik Matematicki, Vol. 39, No.2 (2004), 245-255.

CONSTRAINED ABSTRACT REPRESENTATION PROBLEMS IN SEMIGROUPS AND PARTIAL GROUPOIDS

A. Mani

9b, Jatin Bagchi Road, Kolkata-700 029, India
e-mail: a_mani_sc_gs@vsnl.net


Abstract.   In this paper different constrained abstract representation theorems for partial groupoids and semigroups are proved. Methods for improving the retract properties of the structures are also developed. These have strong class-theoretical implications for many types of generalized periodic semigroups and related partial semigroups. The results are significant in a model-theoretical setting.

2000 Mathematics Subject Classification.   20M10, 08A55.

Key words and phrases.   Constrained abstract representation problems, retracts, retract extensions, partial semigroups, partial groupoids, generalized periodic semigroups, CSM-types.


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