Let M be a module over Noetherian local ring A. We study M-independent sequences of elements the maximal ideal mA in sense Lech and Hanes. The main tool is new characterization M-independence sequence terms associated Koszul complex. As applications, we give result linkage theory, freeness criterion for existence strongly length equal to embedding dimension edim(A) A, another inspired from patc...

Excerpt] Revenue management (RM) has been practiced in the airline (Smith, Leimkuhler,& Darrow, 1992),hotel (Hanks, Noland, & Cross, 1992),and car rental industries (Carroll & Grimes, 1995; Geraghty & Johnson, 1997) for over 15 years, and has more recently attracted attention in other industries, including broadcasting, golf (Kimes, 2000), health care (Born et al., 2004), and restaurants (Kimes...

Anxiety and depression have been documented as top mental health issues that impede college students’ academic performance National Alliance on Mental Illness [NAMI] [1]; Pedrelli, Nyer, Yeung, Zulauf, and Wilens, [2]. More than 80% of college students have felt overwhelmed by college-related tasks and more than 50% have felt extremely anxious about their academic struggles in the past year. Al...