Depth of Idempotent-Generated Subsemigroups of a Regular Ring

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

rigid resolution of a finitely generated module over a regular local ring

the effect of the utilization of electronic dictionaries on depth and breadth of vocabulary knowledge: a case of iranian efl learners

مطالعه حاضر تلاشی است برای بررسی تأثیرات به کارگیری فرهنگ لغات ، یکی از مهمترین ابزارهای یادگیری واژگان درفراگیری زبان خارجی، بر روی دانش لغوی. دراین تحقیق فرهنگ های الکترونیکی در قیاس با فرهنگ های چاپی مورد بررسی قرارگرفته اند که آیا این فرهنگ ها تاثیرقابل توجهی بر روی دوبعد کمی و کیفی دانش لغوی یعنی عمق و گستره لغات می گذارند. همچنین مشخص گردیده است که آیا تفاوت قابل ملاحظه ای میان عمق و گستر...

Regular centralizers of idempotent transformations

Denote by T (X) the semigroup of full transformations on a set X. For ε ∈ T (X), the centralizer of ε is a subsemigroup of T (X) defined by C(ε) = {α ∈ T (X) : αε = εα}. It is well known that C(idX) = T (X) is a regular semigroup. By a theorem proved by J.M. Howie in 1966, we know that if X is finite, then the subsemigroup generated by the idempotents of C(idX) contains all non-invertible trans...

Rings in which elements are the sum of an‎ ‎idempotent and a regular element

Let R be an associative ring with unity. An element a in R is said to be r-clean if a = e+r, where e is an idempotent and r is a regular (von Neumann) element in R. If every element of R is r-clean, then R is called an r-clean ring. In this paper, we prove that the concepts of clean ring and r-clean ring are equivalent for abelian rings. Further we prove that if 0 and 1 are the only idempotents...