• ON CERTAIN KINDS OF CHARACTERIZATIONS OF ALMOST PRIMARY IDEALS IN BOOLEAN LIKE SEMI RINGS

Yibeltal Yitayew Tessema, Berhanu Bekele Belayneh, K. Venkateswarlu*

Abstract


In this paper we introduce the notion of weekly primary ideals and almost primary ideals in a Boolean like semi-ring and obtain various properties of these ideals. Some characterizations have been given for almost primary ideals in terms of semi prime ideals, 2-potent prime ideals and radical of ideals. Finally we established that an ideal I of a Boolean like semi ring R is almost primary if and only if I⁄I^2 is a weakly primary ideal of R/I.

Keywords


Prime ideal, weakly prime ideal, Almost Prime ideal and Almost Primary ideal, 2-potent Prime ideal, semi prime ideal

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