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Stock- Based Compensation (Details) (USD $)
12 Months Ended 1 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
May 31, 2014
Stock-Based Compensation [Abstract]        
Shares available for future grant under the plan 889,735us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Expense recognized in connection with the issuance of Deferred Stock Units (in US dollars) $ 394,000us-gaap_RestrictedStockExpense $ 394,000us-gaap_RestrictedStockExpense $ 300,000us-gaap_RestrictedStockExpense  
Deferred Stock Units [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share Based Compensation Arrangement By Share Based Payment Award Non Option Equity Instruments Granted Per Director (in shares)       212alx_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGrantedPerDirector
/ us-gaap_AwardTypeAxis
= alx_DeferredStockUnitsMember
Expense recognized in connection with the issuance of Deferred Stock Units (in US dollars)       394,000us-gaap_RestrictedStockExpense
/ us-gaap_AwardTypeAxis
= alx_DeferredStockUnitsMember
Expense per grant recognized in connection with the issuance of Deferred Stock Units (in US dollars)       $ 56,250alx_RestrictedStockExpenseFairValuePerGrant
/ us-gaap_AwardTypeAxis
= alx_DeferredStockUnitsMember
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Outstanding Number 5,005alx_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= alx_DeferredStockUnitsMember