The M 3 [ D ] construction and n -modularity

20 05 THE M 3 [ D ] CONSTRUCTION AND n - MODULARITY

$(m,n)$-algebraically compactness and $(m,n)$-pure injectivity

In this paper‎, ‎we introduce the notion of $(m,n)$-‎algebr‎aically compact modules as an analogue of algebraically‎ ‎compact modules and then we show that $(m,n)$-algebraically‎ ‎compactness‎ ‎and $(m,n)$-pure injectivity for modules coincide‎. ‎Moreover‎, ‎further characterizations of a‎ ‎$(m,n)$-pure injective module over a commutative ring are given‎.

Construction of composition ( m , n , k ) - hyperrings

In this paper, our aim is to introduce the notion of a composition (m,n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m,n, k) hyperrings which is a generalization of composition rings and composition hyperrings. Also, the isomorphism theorems of ring theory are derived in the context of composition (m,n, k)-hyperrings.

construction and validation of the translation teacher competency test and the scale of students’ perceptions of translation teachers

the major purpose of this study was to develop the translation teacher competency test (ttct) and examine its construct and predictive validity. the present study was conducted in two phases: a qualitative phase as well as a quantitative phase. in the first phase of the study, the author attempted to find out the major areas of competency required for an academic translation teacher. the second...

Bijective Proof of the Partition Identity C 3 , r ( n ) = D 3 , r ( n ) of M . V . Subbarao

The theorem " The number of partitions of n, in which each part appears 2, 4, 2r + 1, 2r + 3 and 2r + 5 times equals the number of partitions of n in which odd part is congruent to 2r + 1(mod 4r + 2) and even part is congruent to 2 or 4(mod 6) " , is a particular case of a result by M. V. Subbarao. In this paper we give a bijective proof of this theorem.