RINGS WHOSE SEMIGROUP OF RIGHT IDEALS IS J -TRIVIAL
A semigroup S is J -trivial if any two distinct elements of S must generate distinct ideals of S. We investigate this condition for the semigroup of all right ideals of a ring under right ideal multiplication. There is a rich interplay between the underlying ring and the semigroup of all of its right ideals.
Keywords:
semigroup of right ideals, ring, J -trivial, idempotents, nilpotent, radicals, π-regular, strongly regular right weakly regular, 0-cancellative,
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- Department of Mathematics University of Louisiana at Lafayette Lafayette, Louisiana 70504 e-mail: heh5820@louisiana.edu Ralph P. Tucci
- Department of Mathematical Sciences Loyola University New Orleans New Orleans, LA. 70118 e-mail: tucci@loyno.edu
- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI