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@article{706555, author = {Niederle, Josef}, article_location = {Palermo}, article_number = {1}, keywords = {algebraic topped intersection structure; ideal; pseudoideal; Frink ideal; Doyle pseudoideal; S-ideal; prime S-ideal; S-distributive ordered set; prime S-ideal theorem}, language = {eng}, issn = {0009-725X}, journal = {Rendiconti del Circolo Matematico di Palermo}, title = {Ideals in ordered sets, a unifying approach}, volume = {55}, year = {2006} }
TY - JOUR ID - 706555 AU - Niederle, Josef PY - 2006 TI - Ideals in ordered sets, a unifying approach JF - Rendiconti del Circolo Matematico di Palermo VL - 55 IS - 1 SP - 287-295 EP - 287-295 SN - 0009725X KW - algebraic topped intersection structure KW - ideal KW - pseudoideal KW - Frink ideal KW - Doyle pseudoideal KW - S-ideal KW - prime S-ideal KW - S-distributive ordered set KW - prime S-ideal theorem N2 - A common generalization of different notions of ideals met in literature together with the associated notions of distributivity in ordered sets are studied. A restricted prime ideal theorem is proved. Moreover, a new characterization of algebraic topped intersection structures is presented. ER -
NIEDERLE, Josef. Ideals in ordered sets, a unifying approach. \textit{Rendiconti del Circolo Matematico di Palermo}. Palermo, 2006, vol.~55, No~1, p.~287-295. ISSN~0009-725X.
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